39:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000 Potenciación de números reales con exponentes racionales:@0.108231:0.096657:0.558294:0.096657:0.558294:0.079711:0.108231:0.079711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sea ≥ 0, la notación :@0.108231:0.141581:0.261600:0.141581:0.261600:0.125083:0.108231:0.125083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.135973:0.141697:0.144951:0.141697:0.144951:0.125228:0.135973:0.125228:0.000000 1:@0.271762:0.125695:0.277735:0.125695:0.277735:0.115724:0.271762:0.115724:0.000000 2:@0.271762:0.138241:0.277735:0.138241:0.277735:0.128270:0.271762:0.128270:0.000000 a:@0.260879:0.143767:0.270498:0.143767:0.270498:0.126122:0.260879:0.126122:0.000000 significa la raíz cuadrada de . Esto es, = , :@0.280925:0.141583:0.599908:0.141583:0.599908:0.125085:0.280925:0.125085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.479336:0.141698:0.488314:0.141698:0.488314:0.125230:0.479336:0.125230:0.000000 x :@0.549596:0.141698:0.561213:0.141698:0.561213:0.125230:0.549596:0.125230:0.000000:0.000000 1:@0.585308:0.125695:0.591281:0.125695:0.591281:0.115724:0.585308:0.115724:0.000000 2:@0.585308:0.138241:0.591281:0.138241:0.591281:0.128270:0.585308:0.128270:0.000000 a:@0.574425:0.143767:0.584044:0.143767:0.584044:0.126122:0.574425:0.126122:0.000000 :@0.595765:0.141583:0.599908:0.141583:0.599908:0.125085:0.595765:0.125085:0.000000 entonces, = ; si :@0.108239:0.169619:0.245531:0.169621:0.245531:0.153123:0.108239:0.153121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.181062:0.169734:0.188537:0.169734:0.188537:0.153266:0.181062:0.153266:0.000000 2:@0.188522:0.163269:0.193475:0.163269:0.193475:0.153651:0.188522:0.153651:0.000000 a:@0.214494:0.169736:0.223472:0.169736:0.223472:0.153268:0.214494:0.153268:0.000000 a :@0.246494:0.169736:0.259614:0.169736:0.259614:0.153268:0.246494:0.153268:0.000000:0.000000 :@0.260558:0.169404:0.276606:0.169404:0.276606:0.154757:0.260558:0.154757:0.000000 , la notación :@0.276606:0.169621:0.388689:0.169621:0.388689:0.153123:0.276606:0.153123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.281711:0.168652:0.295620:0.168652:0.295620:0.155205:0.281711:0.155205:0.000000 1:@0.402506:0.152871:0.408081:0.152871:0.408081:0.143564:0.402506:0.143564:0.000000 3:@0.402976:0.164579:0.408552:0.164579:0.408552:0.155272:0.402976:0.155272:0.000000 a:@0.392612:0.169736:0.401589:0.169736:0.401589:0.153268:0.392612:0.153268:0.000000 significa la raíz cúbica de :@0.413071:0.169621:0.599925:0.169621:0.599925:0.153123:0.413071:0.153123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.108218:0.199030:0.117196:0.199030:0.117196:0.182561:0.108218:0.182561:0.000000 , es decir, = :@0.117205:0.198914:0.215940:0.198914:0.215940:0.182417:0.117205:0.182417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.187986:0.199030:0.199603:0.199030:0.199603:0.182561:0.187986:0.182561:0.000000:0.000000 1:@0.230216:0.180908:0.235791:0.180908:0.235791:0.171602:0.230216:0.171602:0.000000 3:@0.230686:0.192616:0.236262:0.192616:0.236262:0.183310:0.230686:0.183310:0.000000 a:@0.220322:0.197774:0.229299:0.197774:0.229299:0.181305:0.220322:0.181305:0.000000 , entonces = . En estos dos casos particulares, :@0.240791:0.198916:0.599896:0.198916:0.599896:0.182418:0.240791:0.182418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.319317:0.199031:0.326792:0.199031:0.326792:0.182563:0.319317:0.182563:0.000000 3:@0.326793:0.192564:0.331746:0.192564:0.331746:0.182946:0.326793:0.182946:0.000000 a:@0.353613:0.199031:0.362591:0.199031:0.362591:0.182563:0.353613:0.182563:0.000000 tenemos potencias con exponentes racionales: :@0.108231:0.228210:0.443522:0.228210:0.443522:0.211712:0.108231:0.211712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.459509:0.212323:0.465483:0.212323:0.465483:0.202352:0.459509:0.202352:0.000000 2:@0.459509:0.224869:0.465483:0.224869:0.465483:0.214898:0.459509:0.214898:0.000000 a:@0.448627:0.230395:0.458246:0.230395:0.458246:0.212750:0.448627:0.212750:0.000000 y :@0.467212:0.228211:0.483318:0.228211:0.483318:0.211713:0.467212:0.211713:0.000000:0.000000:0.000000 1:@0.496195:0.210204:0.501770:0.210204:0.501770:0.200897:0.496195:0.200897:0.000000 3:@0.496668:0.221911:0.502243:0.221911:0.502243:0.212605:0.496668:0.212605:0.000000 a:@0.486301:0.227069:0.495279:0.227069:0.495279:0.210600:0.486301:0.210600:0.000000 con a ≥ 0.:@0.506771:0.228211:0.580191:0.228211:0.580191:0.211713:0.506771:0.211713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Teorema.:@0.108231:0.279699:0.179703:0.279699:0.179703:0.262753:0.108231:0.262753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean :@0.179705:0.279236:0.221645:0.279236:0.221645:0.262739:0.179705:0.262739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.221645:0.279352:0.234765:0.279352:0.234765:0.262883:0.221645:0.262883:0.000000:0.000000 :@0.234765:0.279020:0.250813:0.279020:0.250813:0.264373:0.234765:0.264373:0.000000 :@0.250813:0.279236:0.254955:0.279236:0.254955:0.262739:0.250813:0.262739:0.000000 R:@0.254955:0.278268:0.268864:0.278268:0.268864:0.264821:0.254955:0.264821:0.000000 +:@0.268862:0.272880:0.275163:0.272880:0.275163:0.263262:0.268862:0.263262:0.000000 , :@0.275162:0.279233:0.282059:0.279233:0.282059:0.262736:0.275162:0.262736:0.000000:0.000000 n :@0.282059:0.279349:0.295564:0.279349:0.295564:0.262880:0.282059:0.262880:0.000000:0.000000 :@0.295564:0.279016:0.311612:0.279016:0.311612:0.264370:0.295564:0.264370:0.000000 . Entonces, :@0.311612:0.279233:0.413950:0.279233:0.413950:0.262736:0.311612:0.262736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Z:@0.315754:0.278265:0.328604:0.278265:0.328604:0.264818:0.315754:0.264818:0.000000 +:@0.328604:0.272880:0.334905:0.272880:0.334905:0.263262:0.328604:0.263262:0.000000 1:@0.434194:0.262554:0.439770:0.262554:0.439770:0.253248:0.434194:0.253248:0.000000 2:@0.434194:0.274270:0.439770:0.274270:0.439770:0.264964:0.434194:0.264964:0.000000 1:@0.506284:0.263265:0.511859:0.263265:0.511859:0.253959:0.506284:0.253959:0.000000 2:@0.506284:0.274965:0.511859:0.274965:0.511859:0.265659:0.506284:0.265659:0.000000 a:@0.424038:0.279419:0.433015:0.279419:0.433015:0.262951:0.424038:0.262951:0.000000 a:@0.481737:0.279419:0.490715:0.279419:0.490715:0.262951:0.481737:0.262951:0.000000 n:@0.450737:0.257544:0.456157:0.257544:0.456157:0.248012:0.450737:0.248012:0.000000 n:@0.490836:0.271336:0.496255:0.271336:0.496255:0.261804:0.490836:0.261804:0.000000 ():@0.474610:0.285044:0.504952:0.285044:0.504952:0.259158:0.474610:0.259158:0.000000:0.000000 =:@0.461154:0.279940:0.471731:0.279940:0.471731:0.263659:0.461154:0.263659:0.000000 .:@0.512822:0.279233:0.515577:0.279233:0.515577:0.262736:0.512822:0.262736:0.000000 Definición.:@0.108232:0.321309:0.192419:0.321309:0.192419:0.304363:0.108232:0.304363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sea :@0.192421:0.320846:0.225211:0.320846:0.225211:0.304349:0.192421:0.304349:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.225596:0.320962:0.238716:0.320962:0.238716:0.304493:0.225596:0.304493:0.000000:0.000000 :@0.239101:0.320629:0.255149:0.320629:0.255149:0.305982:0.239101:0.305982:0.000000 . La raíz cúbica de se denota :@0.255149:0.320846:0.491877:0.320846:0.491877:0.304349:0.255149:0.304349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.259676:0.319877:0.273586:0.319877:0.273586:0.306431:0.259676:0.306431:0.000000 a:@0.404067:0.320962:0.413045:0.320962:0.413045:0.304493:0.404067:0.304493:0.000000 ( ):@0.487675:0.328752:0.526840:0.328752:0.526840:0.297566:0.487675:0.297566:0.000000:0.000000:0.000000 =:@0.473442:0.322253:0.484334:0.322253:0.484334:0.305486:0.473442:0.305486:0.000000 =:@0.538022:0.322253:0.548915:0.322253:0.548915:0.305486:0.538022:0.305486:0.000000 3:@0.462551:0.314261:0.468293:0.314261:0.468293:0.304677:0.462551:0.304677:0.000000 3:@0.497542:0.315151:0.503284:0.315151:0.503284:0.305567:0.497542:0.305567:0.000000 3:@0.527140:0.308757:0.532882:0.308757:0.532882:0.299173:0.527140:0.299173:0.000000 b:@0.452309:0.321717:0.461852:0.321717:0.461852:0.304756:0.452309:0.304756:0.000000 a:@0.508874:0.321717:0.518119:0.321717:0.518119:0.304756:0.508874:0.304756:0.000000 a:@0.553138:0.321717:0.562383:0.321717:0.562383:0.304756:0.553138:0.304756:0.000000 que se lee :@0.520394:0.320850:0.599902:0.320850:0.599902:0.304352:0.520394:0.304352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 “raíz cúbica de ” y es un número real , tal que :@0.108233:0.345112:0.447315:0.345112:0.447315:0.328614:0.108233:0.328614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.214941:0.345228:0.223919:0.345228:0.223919:0.328759:0.214941:0.328759:0.000000 b:@0.377866:0.345228:0.387132:0.345228:0.387132:0.328759:0.377866:0.328759:0.000000 ( ):@0.484220:0.352063:0.522250:0.352063:0.522250:0.321780:0.484220:0.321780:0.000000:0.000000:0.000000 =:@0.470400:0.345752:0.480976:0.345752:0.480976:0.329471:0.470400:0.329471:0.000000 =:@0.533108:0.345752:0.543685:0.345752:0.543685:0.329471:0.533108:0.329471:0.000000 3:@0.459826:0.337991:0.465401:0.337991:0.465401:0.328684:0.459826:0.328684:0.000000 3:@0.493802:0.338853:0.499377:0.338853:0.499377:0.329546:0.493802:0.329546:0.000000 3:@0.522542:0.332647:0.528117:0.332647:0.528117:0.323341:0.522542:0.323341:0.000000 b:@0.449878:0.345232:0.459145:0.345232:0.459145:0.328763:0.449878:0.328763:0.000000 a:@0.504803:0.345232:0.513781:0.345232:0.513781:0.328763:0.504803:0.328763:0.000000 a:@0.547784:0.345232:0.556762:0.345232:0.556762:0.328763:0.547784:0.328763:0.000000 .:@0.557103:0.345116:0.559858:0.345116:0.559858:0.328618:0.557103:0.328618:0.000000 Ejercicios resueltos:@0.108223:0.380193:0.238878:0.380193:0.238878:0.363407:0.108223:0.363407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.108223:0.409328:0.124578:0.409328:0.124578:0.392614:0.108223:0.392614:0.000000:0.000000:0.000000 Sea :@0.131958:0.409111:0.160220:0.409111:0.160220:0.392614:0.131958:0.392614:0.000000:0.000000:0.000000:0.000000 m :@0.160085:0.409227:0.179023:0.409227:0.179023:0.392758:0.160085:0.392758:0.000000:0.000000 :@0.178888:0.408894:0.194936:0.408894:0.194936:0.394247:0.178888:0.394247:0.000000 . Entonces :@0.194936:0.409111:0.290038:0.409113:0.290038:0.392615:0.194936:0.392614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Z:@0.198943:0.408143:0.211793:0.408143:0.211793:0.394696:0.198943:0.394696:0.000000 :@0.211800:0.402760:0.214215:0.402760:0.214215:0.393141:0.211800:0.393141:0.000000 ( )( ):@0.320638:0.414490:0.399966:0.414380:0.399966:0.386434:0.320638:0.386543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.306173:0.409866:0.317243:0.409866:0.317243:0.392826:0.306173:0.392826:0.000000 =:@0.369287:0.409866:0.380357:0.409866:0.380357:0.392826:0.369287:0.392826:0.000000 =:@0.462890:0.409866:0.473960:0.409866:0.473960:0.392826:0.462890:0.392826:0.000000 =:@0.519713:0.409866:0.530783:0.409866:0.530783:0.392826:0.519713:0.392826:0.000000 3:@0.343926:0.400789:0.349073:0.400789:0.349073:0.390795:0.343926:0.390795:0.000000 1:@0.359647:0.391163:0.364794:0.391163:0.364794:0.381168:0.359647:0.381168:0.000000 3:@0.359379:0.403417:0.364526:0.403417:0.364526:0.393423:0.359379:0.393423:0.000000 3 3:@0.507267:0.400789:0.526666:0.400513:0.526666:0.390519:0.507267:0.390795:0.000000:0.000000:0.000000 3:@0.480201:0.400623:0.485348:0.400623:0.485348:0.390628:0.480201:0.390628:0.000000 x:@0.293789:0.409322:0.301613:0.409322:0.301613:0.392084:0.293789:0.392084:0.000000 m x:@0.328532:0.409322:0.342931:0.409212:0.342931:0.391975:0.328532:0.392084:0.000000:0.000000:0.000000 m:@0.384638:0.409322:0.400124:0.409322:0.400124:0.392084:0.384638:0.392084:0.000000 x:@0.450494:0.409322:0.458318:0.409322:0.458318:0.392084:0.450494:0.392084:0.000000 m x:@0.491872:0.409322:0.499628:0.409212:0.499628:0.391975:0.491872:0.392084:0.000000:0.000000:0.000000 m m:@0.535043:0.409322:0.548668:0.409212:0.548668:0.391975:0.535043:0.392084:0.000000:0.000000:0.000000 , o también :@0.400459:0.409113:0.488923:0.409113:0.488923:0.392615:0.400459:0.392615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.347491:0.409757:0.358561:0.409757:0.358561:0.392716:0.347491:0.392716:0.000000 =:@0.410605:0.409757:0.421675:0.409757:0.421675:0.392716:0.410605:0.392716:0.000000 =:@0.504208:0.409757:0.515278:0.409757:0.515278:0.392716:0.504208:0.392716:0.000000 =:@0.561031:0.409757:0.572102:0.409757:0.572102:0.392716:0.561031:0.392716:0.000000 3:@0.385244:0.400680:0.390391:0.400680:0.390391:0.390685:0.385244:0.390685:0.000000 1:@0.400965:0.391053:0.406112:0.391053:0.406112:0.381059:0.400965:0.381059:0.000000 3:@0.400697:0.403308:0.405844:0.403308:0.405844:0.393313:0.400697:0.393313:0.000000 3:@0.548585:0.400680:0.553732:0.400680:0.553732:0.390685:0.548585:0.390685:0.000000 m:@0.369851:0.409212:0.385337:0.409212:0.385337:0.391975:0.369851:0.391975:0.000000 m:@0.425948:0.409212:0.441434:0.409212:0.441434:0.391975:0.425948:0.391975:0.000000 m:@0.576354:0.409212:0.591840:0.409212:0.591840:0.391975:0.576354:0.391975:0.000000 . :@0.593011:0.409113:0.599908:0.409113:0.599908:0.392615:0.593011:0.392615:0.000000:0.000000 2.:@0.108239:0.452244:0.120511:0.452244:0.120511:0.435529:0.108239:0.435529:0.000000:0.000000 Sean :@0.120511:0.452027:0.169773:0.452027:0.169773:0.435529:0.120511:0.435529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m, n:@0.169773:0.452142:0.200617:0.452142:0.200617:0.435674:0.169773:0.435674:0.000000:0.000000:0.000000:0.000000 con ≠ 0. Se tiene :@0.200617:0.452027:0.375338:0.452028:0.375338:0.435530:0.200617:0.435529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.204759:0.451810:0.220807:0.451810:0.220807:0.437163:0.204759:0.437163:0.000000 Z:@0.224949:0.451058:0.237799:0.451058:0.237799:0.437611:0.224949:0.437611:0.000000 :@0.237798:0.445675:0.240213:0.445675:0.240213:0.436057:0.237798:0.436057:0.000000 n:@0.271306:0.452144:0.280669:0.452144:0.280669:0.435675:0.271306:0.435675:0.000000 =:@0.616980:0.451462:0.627801:0.451462:0.627801:0.434944:0.616980:0.434944:0.000000 =:@0.720674:0.451462:0.731495:0.451462:0.731495:0.434944:0.720674:0.434944:0.000000 =:@0.461728:0.451462:0.472549:0.451462:0.472549:0.434944:0.461728:0.434944:0.000000 =:@0.558189:0.451462:0.569010:0.451462:0.569010:0.434944:0.558189:0.434944:0.000000 3:@0.432730:0.434053:0.437654:0.434053:0.437654:0.424493:0.432730:0.424493:0.000000 3:@0.430107:0.454431:0.435030:0.454431:0.435030:0.444871:0.430107:0.444871:0.000000 1:@0.452491:0.424810:0.457415:0.424810:0.457415:0.415249:0.452491:0.415249:0.000000 3:@0.452228:0.436532:0.457152:0.436532:0.457152:0.426971:0.452228:0.426971:0.000000 3:@0.603549:0.434053:0.608473:0.434053:0.608473:0.424493:0.603549:0.424493:0.000000 3:@0.600926:0.454431:0.605849:0.454431:0.605849:0.444871:0.600926:0.444871:0.000000 3:@0.574455:0.446237:0.579379:0.446237:0.579379:0.436676:0.574455:0.436676:0.000000 3:@0.710057:0.443413:0.714980:0.443413:0.714980:0.433852:0.710057:0.433852:0.000000 3:@0.774319:0.431925:0.779242:0.431925:0.779242:0.422365:0.774319:0.422365:0.000000 3:@0.817245:0.434053:0.822169:0.434053:0.822169:0.424493:0.817245:0.424493:0.000000 3:@0.814622:0.454431:0.819545:0.454431:0.819545:0.444871:0.814622:0.444871:0.000000 x:@0.375337:0.451397:0.383341:0.451397:0.388183:0.434880:0.380178:0.434880:0.000000 m:@0.415333:0.442043:0.430243:0.442043:0.435085:0.425526:0.420175:0.425526:0.000000 n:@0.417946:0.462411:0.427590:0.462411:0.432432:0.445894:0.422788:0.445894:0.000000 m:@0.476863:0.442043:0.491772:0.442043:0.496614:0.425526:0.481704:0.425526:0.000000 n:@0.479475:0.462411:0.489119:0.462411:0.493961:0.445894:0.484317:0.445894:0.000000 x:@0.542976:0.451513:0.550460:0.451513:0.555293:0.435025:0.547809:0.435025:0.000000 m:@0.586141:0.442046:0.601050:0.442046:0.605892:0.425528:0.590982:0.425528:0.000000 n:@0.588773:0.462414:0.598417:0.462414:0.603259:0.445897:0.593614:0.445897:0.000000 m:@0.632143:0.442046:0.647053:0.442046:0.651894:0.425528:0.636985:0.425528:0.000000 n:@0.634736:0.462414:0.644381:0.462414:0.649222:0.445897:0.639578:0.445897:0.000000 x:@0.698261:0.451397:0.706265:0.451397:0.711107:0.434880:0.703102:0.434880:0.000000 m:@0.745480:0.442046:0.760390:0.442046:0.765232:0.425528:0.750322:0.425528:0.000000 n:@0.748112:0.462414:0.757757:0.462414:0.762598:0.445897:0.752954:0.445897:0.000000 m:@0.799835:0.442046:0.814744:0.442046:0.819586:0.425528:0.804676:0.425528:0.000000 n:@0.802467:0.462414:0.812111:0.462414:0.816953:0.445897:0.807308:0.445897:0.000000 =:@0.390288:0.451462:0.401109:0.451462:0.401109:0.434944:0.390288:0.434944:0.000000 =:@0.784705:0.451462:0.795526:0.451462:0.795526:0.434944:0.784705:0.434944:0.000000 :@0.499278:0.452028:0.507562:0.452028:0.507562:0.435530:0.499278:0.435530:0.000000:0.000000 o también :@0.131966:0.482782:0.209796:0.482782:0.209796:0.466285:0.131966:0.466285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.283674:0.482616:0.294495:0.482616:0.294495:0.466099:0.283674:0.466099:0.000000 =:@0.387369:0.482616:0.398189:0.482616:0.398189:0.466099:0.387369:0.466099:0.000000 =:@0.128422:0.482616:0.139243:0.482616:0.139243:0.466099:0.128422:0.466099:0.000000 =:@0.224883:0.482616:0.235704:0.482616:0.235704:0.466099:0.224883:0.466099:0.000000 3:@0.099425:0.465208:0.104348:0.465208:0.104348:0.455648:0.099425:0.455648:0.000000 3:@0.096801:0.485586:0.101724:0.485586:0.101724:0.476025:0.096801:0.476025:0.000000 1:@0.119185:0.455966:0.124109:0.455966:0.124109:0.446406:0.119185:0.446406:0.000000 3:@0.118929:0.467688:0.123852:0.467688:0.123852:0.458128:0.118929:0.458128:0.000000 3:@0.270242:0.465208:0.275166:0.465208:0.275166:0.455648:0.270242:0.455648:0.000000 3:@0.267619:0.485586:0.272542:0.485586:0.272542:0.476025:0.267619:0.476025:0.000000 3:@0.241148:0.477391:0.246071:0.477391:0.246071:0.467831:0.241148:0.467831:0.000000 3 2:@0.376749:0.474570:0.390578:0.476423:0.390578:0.466800:0.376749:0.465010:0.000000:0.000000:0.000000 3:@0.441011:0.463082:0.445934:0.463082:0.445934:0.453522:0.441011:0.453522:0.000000 3:@0.483937:0.465211:0.488861:0.465211:0.488861:0.455650:0.483937:0.455650:0.000000 3:@0.481314:0.485589:0.486237:0.485589:0.486237:0.476028:0.481314:0.476028:0.000000 x:@0.042030:0.482552:0.050035:0.482552:0.054876:0.466035:0.046872:0.466035:0.000000 m:@0.082017:0.473200:0.096927:0.473200:0.101768:0.456683:0.086859:0.456683:0.000000 n:@0.084630:0.493568:0.094274:0.493568:0.099116:0.477051:0.089472:0.477051:0.000000 m:@0.143546:0.473200:0.158456:0.473200:0.163298:0.456683:0.148388:0.456683:0.000000 n:@0.146159:0.493568:0.155803:0.493568:0.160645:0.477051:0.151001:0.477051:0.000000 x:@0.209649:0.482668:0.217133:0.482668:0.221966:0.466180:0.214483:0.466180:0.000000 m:@0.252832:0.473197:0.267741:0.473197:0.272583:0.456679:0.257673:0.456679:0.000000 n:@0.255455:0.493569:0.265099:0.493569:0.269941:0.477051:0.260297:0.477051:0.000000 m:@0.298825:0.473201:0.313735:0.473201:0.318577:0.456683:0.303667:0.456683:0.000000 n:@0.301419:0.493569:0.311063:0.493569:0.315904:0.477051:0.306260:0.477051:0.000000 x:@0.364943:0.482552:0.372948:0.482552:0.377789:0.466035:0.369785:0.466035:0.000000 m:@0.412163:0.473201:0.427073:0.473201:0.431914:0.456683:0.417004:0.456683:0.000000 n:@0.414795:0.493569:0.424439:0.493569:0.429281:0.477051:0.419636:0.477051:0.000000 m:@0.466517:0.473201:0.481427:0.473201:0.486268:0.456683:0.471359:0.456683:0.000000 n:@0.469149:0.493569:0.478793:0.493569:0.483635:0.477051:0.473991:0.477051:0.000000 =:@0.056982:0.482616:0.067803:0.482616:0.067803:0.466099:0.056982:0.466099:0.000000 =:@0.451399:0.482616:0.462220:0.482616:0.462220:0.466099:0.451399:0.466099:0.000000 .:@0.318600:0.482788:0.321355:0.482788:0.321355:0.466290:0.318600:0.466290:0.000000 Teorema.:@0.108223:0.535303:0.179695:0.535303:0.179695:0.518357:0.108223:0.518357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean :@0.179697:0.534840:0.221638:0.534840:0.221638:0.518342:0.179697:0.518342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a, b :@0.221638:0.534956:0.250709:0.534956:0.250709:0.518487:0.221638:0.518487:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.250709:0.534623:0.266757:0.534623:0.266757:0.519976:0.250709:0.519976:0.000000 . Entonces::@0.266757:0.534840:0.359746:0.534840:0.359746:0.518342:0.266757:0.518342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.270899:0.533871:0.284808:0.533871:0.284808:0.520425:0.270899:0.520425:0.000000 i):@0.108223:0.579576:0.118761:0.579576:0.118761:0.562862:0.108223:0.562862:0.000000:0.000000 :@0.118760:0.579360:0.122902:0.579360:0.122902:0.562862:0.118760:0.562862:0.000000 .:@0.230160:0.578320:0.232915:0.578320:0.232915:0.561822:0.230160:0.561822:0.000000 .:@0.217085:0.622758:0.219840:0.622758:0.219840:0.606260:0.217085:0.606260:0.000000 1:@0.166828:0.562622:0.171745:0.562622:0.171745:0.553074:0.166828:0.553074:0.000000 3:@0.166571:0.574331:0.171489:0.574331:0.171489:0.564782:0.166571:0.564782:0.000000 1:@0.204194:0.560334:0.209112:0.560334:0.209112:0.550785:0.204194:0.550785:0.000000 3:@0.203931:0.572042:0.208849:0.572042:0.208849:0.562493:0.203931:0.562493:0.000000 1:@0.222320:0.560334:0.227238:0.560334:0.227238:0.550785:0.222320:0.550785:0.000000 3:@0.222059:0.572042:0.226976:0.572042:0.226976:0.562493:0.222059:0.562493:0.000000 1:@0.167443:0.597906:0.172360:0.597906:0.172360:0.588357:0.167443:0.588357:0.000000 3:@0.167186:0.609614:0.172104:0.609614:0.172104:0.600065:0.167186:0.600065:0.000000 1:@0.206359:0.595421:0.211276:0.595421:0.211276:0.585872:0.206359:0.585872:0.000000 3:@0.206102:0.607129:0.211020:0.607129:0.211020:0.597580:0.206102:0.597580:0.000000 1:@0.206359:0.625448:0.211276:0.625448:0.211276:0.615899:0.206359:0.615899:0.000000 3:@0.206102:0.637156:0.211020:0.637156:0.211020:0.627607:0.206102:0.627607:0.000000 ab:@0.137995:0.578424:0.156046:0.578424:0.160874:0.561956:0.142822:0.561956:0.000000:0.000000 ab:@0.190897:0.578424:0.218273:0.578424:0.223101:0.561956:0.195725:0.561956:0.000000:0.000000 a:@0.142710:0.613507:0.151688:0.613507:0.156516:0.597038:0.147538:0.597038:0.000000 b:@0.142719:0.633851:0.151986:0.633851:0.156813:0.617382:0.147547:0.617382:0.000000 a:@0.193031:0.613507:0.202009:0.613507:0.206836:0.597038:0.197859:0.597038:0.000000 b:@0.193056:0.643524:0.202323:0.643524:0.207150:0.627055:0.197884:0.627055:0.000000 ( ):@0.132001:0.581138:0.165850:0.581138:0.165850:0.555704:0.132001:0.555704:0.000000:0.000000:0.000000 =:@0.177769:0.578870:0.188346:0.578870:0.188346:0.560030:0.177769:0.560030:0.000000 =:@0.178397:0.623308:0.188974:0.623308:0.188974:0.604468:0.178397:0.604468:0.000000 ii):@0.108231:0.620467:0.123027:0.620467:0.123027:0.603752:0.108231:0.603752:0.000000:0.000000:0.000000 Si ≠ 0, :@0.123027:0.620250:0.191669:0.620250:0.191669:0.603752:0.123027:0.603752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.147918:0.620366:0.157184:0.620366:0.157184:0.603897:0.147918:0.603897:0.000000 .:@0.289861:0.573283:0.292616:0.573283:0.292616:0.556786:0.289861:0.556786:0.000000 .:@0.276786:0.617721:0.279541:0.617721:0.279541:0.601224:0.276786:0.601224:0.000000 1:@0.226528:0.557586:0.231446:0.557586:0.231446:0.548037:0.226528:0.548037:0.000000 3:@0.226272:0.569294:0.231189:0.569294:0.231189:0.559745:0.226272:0.559745:0.000000 1:@0.263894:0.555293:0.268812:0.555293:0.268812:0.545744:0.263894:0.545744:0.000000 3:@0.263638:0.567001:0.268555:0.567001:0.268555:0.557452:0.263638:0.557452:0.000000 1:@0.282026:0.555293:0.286943:0.555293:0.286943:0.545744:0.282026:0.545744:0.000000 3:@0.281769:0.567001:0.286687:0.567001:0.286687:0.557452:0.281769:0.557452:0.000000 1:@0.227153:0.592860:0.232070:0.592860:0.232070:0.583312:0.227153:0.583312:0.000000 3:@0.226882:0.604577:0.231799:0.604577:0.231799:0.595029:0.226882:0.595029:0.000000 1:@0.266054:0.590384:0.270972:0.590384:0.270972:0.580835:0.266054:0.580835:0.000000 3:@0.265793:0.602092:0.270710:0.602092:0.270710:0.592543:0.265793:0.592543:0.000000 1:@0.266049:0.620411:0.270967:0.620411:0.270967:0.610862:0.266049:0.610862:0.000000 3:@0.265793:0.632119:0.270710:0.632119:0.270710:0.622570:0.265793:0.622570:0.000000 ab:@0.197697:0.573388:0.215748:0.573388:0.220576:0.556919:0.202524:0.556919:0.000000:0.000000 ab:@0.250599:0.573388:0.277975:0.573388:0.282803:0.556919:0.255427:0.556919:0.000000:0.000000 a:@0.202411:0.608469:0.211389:0.608469:0.216216:0.592000:0.207239:0.592000:0.000000 b:@0.202420:0.628813:0.211686:0.628813:0.216514:0.612344:0.207247:0.612344:0.000000 a:@0.252732:0.608469:0.261709:0.608469:0.266537:0.592000:0.257559:0.592000:0.000000 b:@0.252757:0.638486:0.262024:0.638486:0.266851:0.622017:0.257585:0.622017:0.000000 ( ):@0.191702:0.576101:0.225551:0.576101:0.225551:0.550667:0.191702:0.550667:0.000000:0.000000:0.000000 =:@0.237471:0.573833:0.248048:0.573833:0.248048:0.554993:0.237471:0.554993:0.000000 =:@0.238099:0.618271:0.248676:0.618271:0.248676:0.599431:0.238099:0.599431:0.000000 iii):@0.108231:0.683645:0.127284:0.683645:0.127284:0.666930:0.108231:0.666930:0.000000:0.000000:0.000000:0.000000 Si ≠ 0, :@0.127284:0.683428:0.191380:0.683428:0.191380:0.666930:0.127284:0.666930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.147918:0.683544:0.156895:0.683544:0.156895:0.667075:0.147918:0.667075:0.000000 −:@0.354121:0.805324:0.364758:0.805324:0.364758:0.788951:0.354121:0.788951:0.000000 +:@0.407613:0.805324:0.418250:0.805324:0.418250:0.788951:0.407613:0.788951:0.000000 +:@0.354121:0.757310:0.364758:0.757310:0.364758:0.740938:0.354121:0.740938:0.000000 +:@0.407613:0.757310:0.418250:0.757310:0.418250:0.740938:0.407613:0.740938:0.000000 1:@0.198234:0.672673:0.206778:0.672673:0.206778:0.656082:0.198234:0.656082:0.000000 .:@0.255833:0.682066:0.258603:0.682066:0.258603:0.665475:0.255833:0.665475:0.000000 1:@0.204380:0.684773:0.209325:0.684773:0.209325:0.675170:0.204380:0.675170:0.000000 3:@0.204122:0.696555:0.209068:0.696555:0.209068:0.686952:0.204122:0.686952:0.000000 2:@0.245036:0.654595:0.249982:0.654595:0.249982:0.644992:0.245036:0.644992:0.000000 3:@0.244760:0.666369:0.249705:0.666369:0.249705:0.656767:0.244760:0.656767:0.000000 1:@0.267768:0.738589:0.272713:0.738589:0.272713:0.728986:0.267768:0.728986:0.000000 3:@0.267510:0.750363:0.272455:0.750363:0.272455:0.740760:0.267510:0.740760:0.000000 1:@0.303058:0.738589:0.308003:0.738589:0.308003:0.728986:0.303058:0.728986:0.000000 3:@0.302800:0.750363:0.307745:0.750363:0.307745:0.740760:0.302800:0.740760:0.000000 2:@0.343798:0.738589:0.348743:0.738589:0.348743:0.728986:0.343798:0.728986:0.000000 3:@0.343921:0.750363:0.348867:0.750363:0.348867:0.740760:0.343921:0.740760:0.000000 1:@0.379559:0.738589:0.384504:0.738589:0.384504:0.728986:0.379559:0.728986:0.000000 3:@0.379301:0.750363:0.384246:0.750363:0.384246:0.740760:0.379301:0.740760:0.000000 1:@0.397770:0.738589:0.402716:0.738589:0.402716:0.728986:0.397770:0.728986:0.000000 3:@0.397501:0.750363:0.402447:0.750363:0.402447:0.740760:0.397501:0.740760:0.000000 2:@0.432780:0.738589:0.437725:0.738589:0.437725:0.728986:0.432780:0.728986:0.000000 3:@0.432904:0.750363:0.437849:0.750363:0.437849:0.740760:0.432904:0.740760:0.000000 1:@0.267790:0.786620:0.272736:0.786620:0.272736:0.777017:0.267790:0.777017:0.000000 3:@0.267532:0.798386:0.272478:0.798386:0.272478:0.788783:0.267532:0.788783:0.000000 1:@0.303080:0.786620:0.308026:0.786620:0.308026:0.777017:0.303080:0.777017:0.000000 3:@0.302822:0.798386:0.307768:0.798386:0.307768:0.788783:0.302822:0.788783:0.000000 2:@0.343820:0.786620:0.348766:0.786620:0.348766:0.777017:0.343820:0.777017:0.000000 3:@0.343944:0.798386:0.348889:0.798386:0.348889:0.788783:0.343944:0.788783:0.000000 1:@0.379582:0.786620:0.384527:0.786620:0.384527:0.777017:0.379582:0.777017:0.000000 3:@0.379324:0.798386:0.384269:0.798386:0.384269:0.788783:0.379324:0.788783:0.000000 1:@0.397793:0.786620:0.402738:0.786620:0.402738:0.777017:0.397793:0.777017:0.000000 3:@0.397524:0.798386:0.402469:0.798386:0.402469:0.788783:0.397524:0.788783:0.000000 2:@0.432803:0.786620:0.437748:0.786620:0.437748:0.777017:0.432803:0.777017:0.000000 3:@0.432926:0.798386:0.437871:0.798386:0.437871:0.788783:0.432926:0.788783:0.000000 =:@0.216923:0.682707:0.227559:0.682707:0.227559:0.666334:0.216923:0.666334:0.000000 −:@0.277627:0.757316:0.288263:0.757316:0.288263:0.740943:0.277627:0.740943:0.000000 +:@0.277627:0.805324:0.288263:0.805324:0.288263:0.788951:0.277627:0.788951:0.000000 a:@0.233047:0.674911:0.242075:0.674911:0.242075:0.658349:0.233047:0.658349:0.000000 a:@0.234480:0.689612:0.243509:0.689612:0.243509:0.673050:0.234480:0.673050:0.000000 a:@0.255507:0.756848:0.264535:0.756848:0.264535:0.740286:0.255507:0.740286:0.000000 a:@0.333294:0.756848:0.342322:0.756848:0.342322:0.740286:0.333294:0.740286:0.000000 a b:@0.367702:0.756848:0.397054:0.756848:0.397054:0.740286:0.367702:0.740286:0.000000:0.000000:0.000000 a:@0.333313:0.804542:0.342342:0.804542:0.342342:0.787980:0.333313:0.787980:0.000000 a b:@0.367702:0.804542:0.397035:0.803582:0.397035:0.787020:0.367702:0.787980:0.000000:0.000000:0.000000 b:@0.293267:0.756848:0.302586:0.756848:0.302586:0.740286:0.293267:0.740286:0.000000 b:@0.423732:0.756848:0.433051:0.756848:0.433051:0.740286:0.423732:0.740286:0.000000 a:@0.255507:0.803582:0.264535:0.803582:0.264535:0.787020:0.255507:0.787020:0.000000 b:@0.293248:0.803582:0.302567:0.803582:0.302567:0.787020:0.293248:0.787020:0.000000 b:@0.423713:0.803582:0.433032:0.803582:0.433032:0.787020:0.423713:0.787020:0.000000 a:@0.193843:0.703105:0.202871:0.703105:0.202871:0.686543:0.193843:0.686543:0.000000 a – b =:@0.192665:0.756986:0.244549:0.756986:0.244549:0.740425:0.192665:0.740425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a + b =:@0.192665:0.803895:0.245402:0.803895:0.245402:0.787333:0.192665:0.787333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 iv):@0.308113:0.578240:0.326915:0.578240:0.326915:0.561526:0.308113:0.561526:0.000000:0.000000:0.000000 :@0.326915:0.578023:0.331058:0.578023:0.331058:0.561526:0.326915:0.561526:0.000000 −:@0.494930:0.627470:0.505589:0.627470:0.505589:0.611063:0.494930:0.611063:0.000000 +:@0.548534:0.627470:0.559193:0.627470:0.559193:0.611063:0.548534:0.611063:0.000000 +:@0.494930:0.579356:0.505589:0.579356:0.505589:0.562949:0.494930:0.562949:0.000000 +:@0.548534:0.579356:0.559193:0.579356:0.559193:0.562949:0.548534:0.562949:0.000000 1:@0.338716:0.494541:0.347278:0.494541:0.347278:0.477915:0.338716:0.477915:0.000000 .:@0.396436:0.503954:0.399212:0.503954:0.399212:0.487328:0.396436:0.487328:0.000000 1:@0.344876:0.506667:0.349831:0.506667:0.349831:0.497044:0.344876:0.497044:0.000000 3:@0.344617:0.518474:0.349573:0.518474:0.349573:0.508851:0.344617:0.508851:0.000000 3:@0.385341:0.488222:0.390297:0.488222:0.390297:0.478599:0.385341:0.478599:0.000000 1:@0.408396:0.560595:0.413351:0.560595:0.413351:0.550972:0.408396:0.550972:0.000000 3:@0.408137:0.572394:0.413093:0.572394:0.413093:0.562771:0.408137:0.562771:0.000000 1:@0.443760:0.560595:0.448715:0.560595:0.448715:0.550972:0.443760:0.550972:0.000000 3:@0.443501:0.572394:0.448457:0.572394:0.448457:0.562771:0.443501:0.562771:0.000000 2:@0.484585:0.560595:0.489541:0.560595:0.489541:0.550972:0.484585:0.550972:0.000000 3:@0.484708:0.572394:0.489664:0.572394:0.489664:0.562771:0.484708:0.562771:0.000000 1:@0.520421:0.560595:0.525376:0.560595:0.525376:0.550972:0.520421:0.550972:0.000000 3:@0.520162:0.572394:0.525118:0.572394:0.525118:0.562771:0.520162:0.562771:0.000000 1:@0.538670:0.560595:0.543626:0.560595:0.543626:0.550972:0.538670:0.550972:0.000000 3:@0.538401:0.572394:0.543356:0.572394:0.543356:0.562771:0.538401:0.562771:0.000000 2:@0.573753:0.560595:0.578709:0.560595:0.578709:0.550972:0.573753:0.550972:0.000000 3:@0.573877:0.572394:0.578833:0.572394:0.578833:0.562771:0.573877:0.562771:0.000000 1:@0.408418:0.608727:0.413374:0.608727:0.413374:0.599104:0.408418:0.599104:0.000000 3:@0.408160:0.620517:0.413115:0.620517:0.413115:0.610894:0.408160:0.610894:0.000000 1:@0.443782:0.608727:0.448738:0.608727:0.448738:0.599104:0.443782:0.599104:0.000000 3:@0.443524:0.620517:0.448479:0.620517:0.448479:0.610894:0.443524:0.610894:0.000000 2:@0.484607:0.608727:0.489563:0.608727:0.489563:0.599104:0.484607:0.599104:0.000000 3:@0.484731:0.620517:0.489687:0.620517:0.489687:0.610894:0.484731:0.610894:0.000000 1:@0.520443:0.608727:0.525399:0.608727:0.525399:0.599104:0.520443:0.599104:0.000000 3:@0.520185:0.620517:0.525141:0.620517:0.525141:0.610894:0.520185:0.610894:0.000000 1:@0.538693:0.608727:0.543648:0.608727:0.543648:0.599104:0.538693:0.599104:0.000000 3:@0.538423:0.620517:0.543379:0.620517:0.543379:0.610894:0.538423:0.610894:0.000000 2:@0.573776:0.608727:0.578731:0.608727:0.578731:0.599104:0.573776:0.599104:0.000000 3:@0.573899:0.620517:0.578855:0.620517:0.578855:0.610894:0.573899:0.610894:0.000000 =:@0.357445:0.504597:0.368104:0.504597:0.368104:0.488189:0.357445:0.488189:0.000000 −:@0.418275:0.579362:0.428933:0.579362:0.428933:0.562955:0.418275:0.562955:0.000000 +:@0.418275:0.627470:0.428933:0.627470:0.428933:0.611063:0.418275:0.611063:0.000000 a:@0.373603:0.496785:0.382650:0.496785:0.382650:0.480188:0.373603:0.480188:0.000000 a:@0.375039:0.511516:0.384087:0.511516:0.384087:0.494920:0.375039:0.494920:0.000000 a:@0.396110:0.578892:0.405157:0.578892:0.405157:0.562295:0.396110:0.562295:0.000000 a:@0.474059:0.578892:0.483107:0.578892:0.483107:0.562295:0.474059:0.562295:0.000000 a b:@0.508540:0.578892:0.537939:0.578892:0.537939:0.562295:0.508540:0.562295:0.000000:0.000000:0.000000 a:@0.474079:0.626685:0.483126:0.626685:0.483126:0.610088:0.474079:0.610088:0.000000 a b:@0.508540:0.626685:0.537941:0.625726:0.537941:0.609130:0.508540:0.610088:0.000000:0.000000:0.000000 b:@0.433935:0.578892:0.443273:0.578892:0.443273:0.562295:0.433935:0.562295:0.000000 b:@0.564679:0.578892:0.574017:0.578892:0.574017:0.562295:0.564679:0.562295:0.000000 a:@0.396101:0.625723:0.405148:0.625723:0.405148:0.609126:0.396101:0.609126:0.000000 b:@0.433921:0.625723:0.443259:0.625723:0.443259:0.609126:0.433921:0.609126:0.000000 b:@0.564675:0.625726:0.574014:0.625726:0.574014:0.609130:0.564675:0.609130:0.000000 a:@0.334320:0.525040:0.343367:0.525040:0.343367:0.508443:0.334320:0.508443:0.000000 a – b =:@0.333137:0.579031:0.385130:0.579031:0.385130:0.562435:0.333137:0.562435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a + b =:@0.333137:0.626037:0.385984:0.626037:0.385984:0.609441:0.333137:0.609441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v):@0.308113:0.674876:0.322735:0.674876:0.322735:0.658162:0.308113:0.658162:0.000000:0.000000 Si < entonces :@0.322734:0.674660:0.460557:0.674660:0.460557:0.658162:0.322734:0.658162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b,:@0.347799:0.674775:0.387563:0.674775:0.387563:0.658306:0.347799:0.658306:0.000000:0.000000:0.000000:0.000000 . .:@0.502610:0.675237:0.525904:0.675237:0.525904:0.657709:0.502610:0.657709:0.000000:0.000000:0.000000 . .:@0.488712:0.722444:0.512006:0.722444:0.512006:0.704916:0.488712:0.704916:0.000000:0.000000:0.000000 1:@0.435324:0.658560:0.440548:0.658560:0.440548:0.648414:0.435324:0.648414:0.000000 3:@0.435051:0.670999:0.440276:0.670999:0.440276:0.660854:0.435051:0.660854:0.000000 1:@0.475023:0.656123:0.480248:0.656123:0.480248:0.645978:0.475023:0.645978:0.000000 3:@0.474744:0.668568:0.479968:0.668568:0.479968:0.658423:0.474744:0.658423:0.000000 1 1:@0.494280:0.656128:0.500614:0.656123:0.500614:0.645978:0.494280:0.645983:0.000000:0.000000:0.000000 3 3:@0.494008:0.668567:0.500341:0.668563:0.500341:0.658417:0.494008:0.658422:0.000000:0.000000:0.000000 1:@0.435981:0.696042:0.441205:0.696042:0.441205:0.685897:0.435981:0.685897:0.000000 3:@0.435708:0.708481:0.440933:0.708481:0.440933:0.698336:0.435708:0.698336:0.000000 1:@0.477327:0.693401:0.482552:0.693401:0.482552:0.683256:0.477327:0.683256:0.000000 3:@0.477055:0.705840:0.482279:0.705840:0.482279:0.695695:0.477055:0.695695:0.000000 1:@0.477327:0.725304:0.482552:0.725304:0.482552:0.715159:0.477327:0.715159:0.000000 3:@0.477055:0.737743:0.482279:0.737743:0.482279:0.727598:0.477055:0.727598:0.000000 abab:@0.404690:0.675347:0.444237:0.675347:0.449365:0.657850:0.409819:0.657850:0.000000:0.000000:0.000000:0.000000 abab:@0.460896:0.675347:0.510349:0.675347:0.515478:0.657850:0.466025:0.657850:0.000000:0.000000:0.000000:0.000000 a a:@0.409711:0.712615:0.439616:0.712615:0.444745:0.695118:0.414840:0.695118:0.000000:0.000000:0.000000 b b:@0.409720:0.734229:0.439933:0.734229:0.445062:0.716732:0.414849:0.716732:0.000000:0.000000:0.000000 a a:@0.463174:0.712615:0.493080:0.712615:0.498208:0.695118:0.468303:0.695118:0.000000:0.000000:0.000000 b b:@0.463200:0.744506:0.493413:0.744506:0.498542:0.727009:0.468329:0.727009:0.000000:0.000000:0.000000 ( ) ):@0.398321:0.678231:0.454651:0.678231:0.454651:0.651208:0.398321:0.651208:0.000000:0.000000:0.000000:0.000000:0.000000 = =:@0.446948:0.675821:0.478551:0.675821:0.478551:0.655804:0.446948:0.655804:0.000000:0.000000:0.000000 = =:@0.447615:0.723033:0.479219:0.723033:0.479219:0.703017:0.447615:0.703017:0.000000:0.000000:0.000000 < :@0.481944:0.674660:0.501036:0.674660:0.501036:0.658162:0.481944:0.658162:0.000000:0.000000:0.000000 1:@0.455689:0.658560:0.460914:0.658560:0.460914:0.648414:0.455689:0.648414:0.000000 3:@0.455417:0.670999:0.460642:0.670999:0.460642:0.660854:0.455417:0.660854:0.000000 1:@0.514653:0.656123:0.519877:0.656123:0.519877:0.645978:0.514653:0.645978:0.000000 3:@0.514370:0.668568:0.519594:0.668568:0.519594:0.658423:0.514370:0.658423:0.000000 1:@0.456343:0.696045:0.461567:0.696045:0.461567:0.685900:0.456343:0.685900:0.000000 3:@0.456070:0.708484:0.461295:0.708484:0.461295:0.698339:0.456070:0.698339:0.000000 1:@0.497689:0.693404:0.502914:0.693404:0.502914:0.683259:0.497689:0.683259:0.000000 3:@0.497417:0.705843:0.502641:0.705843:0.502641:0.695698:0.497417:0.695698:0.000000 1:@0.497689:0.725307:0.502914:0.725307:0.502914:0.715161:0.497689:0.715161:0.000000 3:@0.497417:0.737746:0.502641:0.737746:0.502641:0.727601:0.497417:0.727601:0.000000 (:@0.418688:0.678231:0.425504:0.678231:0.425504:0.651208:0.418688:0.651208:0.000000 .:@0.522413:0.674660:0.529310:0.674660:0.529310:0.658162:0.522413:0.658162:0.000000:0.000000 Demostración. :@0.107281:0.747836:0.224701:0.747836:0.224701:0.730890:0.107281:0.730890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean = :@0.225608:0.747373:0.291823:0.747373:0.291823:0.730875:0.225608:0.730875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.264332:0.747489:0.275948:0.747489:0.275948:0.731020:0.264332:0.731020:0.000000:0.000000 .:@0.334799:0.746693:0.337726:0.746693:0.337726:0.729165:0.334799:0.729165:0.000000 .:@0.320901:0.793900:0.323828:0.793900:0.323828:0.776372:0.320901:0.776372:0.000000 1:@0.267513:0.730016:0.272738:0.730016:0.272738:0.719871:0.267513:0.719871:0.000000 3:@0.267241:0.742455:0.272465:0.742455:0.272465:0.732310:0.267241:0.732310:0.000000 1 1:@0.307213:0.727579:0.308799:0.730016:0.308799:0.719871:0.307213:0.717434:0.000000:0.000000:0.000000 3 3:@0.306933:0.740024:0.308527:0.742455:0.308527:0.732310:0.306933:0.729879:0.000000:0.000000:0.000000 1 1:@0.326470:0.727584:0.348499:0.727579:0.348499:0.717434:0.326470:0.717439:0.000000:0.000000:0.000000 3 3:@0.326197:0.740023:0.348226:0.740019:0.348226:0.729874:0.326197:0.729878:0.000000:0.000000:0.000000 1:@0.268170:0.767498:0.273395:0.767498:0.273395:0.757353:0.268170:0.757353:0.000000 3 1:@0.267898:0.779937:0.269268:0.778455:0.269268:0.768309:0.267898:0.769792:0.000000:0.000000:0.000000 1:@0.309517:0.764857:0.314741:0.764857:0.314741:0.754712:0.309517:0.754712:0.000000 3:@0.309244:0.777297:0.314469:0.777297:0.314469:0.767151:0.309244:0.767151:0.000000 1:@0.309517:0.796760:0.314741:0.796760:0.314741:0.786615:0.309517:0.786615:0.000000 3:@0.309244:0.809199:0.314469:0.809199:0.314469:0.799054:0.309244:0.799054:0.000000 ab ab:@0.236880:0.746803:0.292120:0.746803:0.297249:0.729306:0.242009:0.729306:0.000000:0.000000:0.000000:0.000000:0.000000 ab ab:@0.293086:0.746803:0.358232:0.746803:0.363361:0.729306:0.298215:0.729306:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.241900:0.784071:0.251438:0.784071:0.256567:0.766574:0.247029:0.766574:0.000000 b:@0.241910:0.805685:0.251755:0.805685:0.256884:0.788188:0.247039:0.788188:0.000000 a:@0.295363:0.784071:0.304902:0.784071:0.310030:0.766574:0.300492:0.766574:0.000000 b:@0.295389:0.815962:0.305235:0.815962:0.310364:0.798465:0.300518:0.798465:0.000000 ( )( ):@0.230510:0.749687:0.302536:0.749687:0.302536:0.722665:0.230510:0.722665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.279138:0.747277:0.290375:0.747277:0.290375:0.727260:0.279138:0.727260:0.000000 =:@0.279804:0.794490:0.291041:0.794490:0.291041:0.774473:0.279804:0.774473:0.000000 , = :@0.314133:0.747373:0.349659:0.747373:0.349659:0.730875:0.314133:0.730875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.321955:0.747489:0.329642:0.747489:0.329642:0.731020:0.321955:0.731020:0.000000 .:@0.370862:0.746693:0.373789:0.746693:0.373789:0.729165:0.370862:0.729165:0.000000 .:@0.356964:0.793900:0.359891:0.793900:0.359891:0.776372:0.356964:0.776372:0.000000 1:@0.362537:0.727579:0.367762:0.727579:0.367762:0.717434:0.362537:0.717434:0.000000 3:@0.362255:0.740024:0.367479:0.740024:0.367479:0.729879:0.362255:0.729879:0.000000 1:@0.304228:0.767502:0.309452:0.767502:0.309452:0.757357:0.304228:0.757357:0.000000 3:@0.303955:0.779941:0.309180:0.779941:0.309180:0.769796:0.303955:0.769796:0.000000 1:@0.345574:0.764861:0.350799:0.764861:0.350799:0.754716:0.345574:0.754716:0.000000 3:@0.345302:0.777301:0.350526:0.777301:0.350526:0.767155:0.345302:0.767155:0.000000 1:@0.345574:0.796764:0.350799:0.796764:0.350799:0.786619:0.345574:0.786619:0.000000 3:@0.345302:0.809203:0.350526:0.809203:0.350526:0.799058:0.345302:0.799058:0.000000 a:@0.277961:0.784071:0.287500:0.784071:0.292629:0.766574:0.283090:0.766574:0.000000 b:@0.277971:0.805685:0.287816:0.805685:0.292945:0.788188:0.283100:0.788188:0.000000 a:@0.331424:0.784071:0.340963:0.784071:0.346092:0.766574:0.336553:0.766574:0.000000 b:@0.331451:0.815962:0.341296:0.815962:0.346425:0.798465:0.336580:0.798465:0.000000 =:@0.315199:0.747277:0.326436:0.747277:0.326436:0.727260:0.315199:0.727260:0.000000 =:@0.315866:0.794490:0.327103:0.794490:0.327103:0.774473:0.315866:0.774473:0.000000 De la definición de raíz cúbica :@0.371973:0.747373:0.598935:0.747373:0.598935:0.730875:0.371973:0.730875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se tiene = ; = .:@0.107287:0.764724:0.256839:0.764724:0.256839:0.748226:0.107287:0.748226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.165698:0.764839:0.173173:0.764839:0.173173:0.748371:0.165698:0.748371:0.000000 3:@0.173167:0.758371:0.178120:0.758371:0.178120:0.748753:0.173167:0.748753:0.000000 a y:@0.197213:0.764839:0.220774:0.764839:0.220774:0.748371:0.197213:0.748371:0.000000:0.000000:0.000000 3:@0.220772:0.758371:0.225725:0.758371:0.225725:0.748753:0.220772:0.748753:0.000000 b:@0.244818:0.764839:0.254084:0.764839:0.254084:0.748371:0.244818:0.748371:0.000000 Sea = :@0.107283:0.798240:0.163634:0.798240:0.163634:0.781742:0.107283:0.781742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z :@0.136721:0.798355:0.147509:0.798355:0.147509:0.781887:0.136721:0.781887:0.000000:0.000000 .:@0.272368:0.797563:0.275295:0.797563:0.275295:0.780036:0.272368:0.780036:0.000000 .:@0.258470:0.844770:0.261397:0.844770:0.261397:0.827242:0.258470:0.827242:0.000000 1:@0.205082:0.780886:0.210307:0.780886:0.210307:0.770741:0.205082:0.770741:0.000000 3:@0.204809:0.793325:0.210034:0.793325:0.210034:0.783180:0.204809:0.783180:0.000000 1:@0.244780:0.778455:0.250005:0.778455:0.250005:0.768309:0.244780:0.768309:0.000000 3:@0.244508:0.790894:0.249732:0.790894:0.249732:0.780749:0.244508:0.780749:0.000000 3:@0.263771:0.790894:0.268996:0.790894:0.268996:0.780749:0.263771:0.780749:0.000000 1:@0.205744:0.818369:0.210968:0.818369:0.210968:0.808223:0.205744:0.808223:0.000000 3 1 1:@0.205471:0.830808:0.208831:0.832104:0.208831:0.821958:0.205471:0.820662:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.247090:0.815728:0.252315:0.815728:0.252315:0.805583:0.247090:0.805583:0.000000 3 1 1:@0.246818:0.828167:0.248530:0.829667:0.248530:0.819522:0.246818:0.818022:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.247090:0.847630:0.252315:0.847630:0.252315:0.837485:0.247090:0.837485:0.000000 3:@0.246818:0.860070:0.252042:0.860070:0.252042:0.849925:0.246818:0.849925:0.000000 ab:@0.174449:0.797674:0.193627:0.797674:0.198756:0.780177:0.179578:0.780177:0.000000:0.000000 ab:@0.230653:0.797674:0.259738:0.797674:0.264867:0.780177:0.235782:0.780177:0.000000:0.000000 a:@0.179468:0.834942:0.189006:0.834942:0.194135:0.817444:0.184597:0.817444:0.000000 b:@0.179477:0.856556:0.189322:0.856556:0.194451:0.839058:0.184606:0.839058:0.000000 a:@0.232931:0.834942:0.242469:0.834942:0.247598:0.817444:0.238060:0.817444:0.000000 b:@0.232957:0.866833:0.242802:0.866833:0.247931:0.849335:0.238086:0.849335:0.000000 ( ):@0.168079:0.800557:0.204042:0.800557:0.204042:0.773535:0.168079:0.773535:0.000000:0.000000:0.000000 =:@0.216706:0.798147:0.227944:0.798147:0.227944:0.778131:0.216706:0.778131:0.000000 =:@0.217373:0.845360:0.228610:0.845360:0.228610:0.825344:0.217373:0.825344:0.000000 . Entonces, =:@0.213180:0.798243:0.322326:0.798243:0.322326:0.781746:0.213180:0.781746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z:@0.289259:0.798359:0.301232:0.798359:0.301232:0.781890:0.289259:0.781890:0.000000:0.000000 3:@0.301237:0.791890:0.306191:0.791890:0.306191:0.782272:0.301237:0.782272:0.000000 ab:@0.322326:0.798359:0.345779:0.798359:0.345779:0.781890:0.322326:0.781890:0.000000:0.000000:0.000000 . Como :@0.345781:0.798243:0.403009:0.798243:0.403009:0.781746:0.345781:0.781746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a = x b = y:@0.404193:0.798359:0.493696:0.798359:0.493696:0.781890:0.404193:0.781890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.442179:0.791890:0.447132:0.791890:0.447132:0.782272:0.442179:0.782272:0.000000 , :@0.447132:0.798243:0.454029:0.798243:0.454029:0.781746:0.447132:0.781746:0.000000:0.000000 3:@0.493704:0.791890:0.498657:0.791890:0.498657:0.782272:0.493704:0.782272:0.000000 , se sigue que :@0.498656:0.798243:0.598957:0.798243:0.598957:0.781746:0.498656:0.781746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.594809:0.798359:0.598951:0.798359:0.598951:0.781890:0.594809:0.781890:0.000000:0.000000:0.000000 z:@0.107282:0.815710:0.113929:0.815710:0.113929:0.799241:0.107282:0.799241:0.000000 3:@0.113928:0.809241:0.118881:0.809241:0.118881:0.799623:0.113928:0.799623:0.000000 =:@0.118881:0.815594:0.133830:0.815594:0.133830:0.799097:0.118881:0.799097:0.000000:0.000000 ab = x y:@0.133830:0.815710:0.195383:0.815710:0.195383:0.799241:0.133830:0.799241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 3:@0.182743:0.809241:0.200336:0.809241:0.200336:0.799623:0.182743:0.799623:0.000000:0.000000:0.000000 .:@0.200336:0.815594:0.203091:0.815594:0.203091:0.799097:0.200336:0.799097:0.000000 Por otro lado, = :@0.107285:0.849457:0.227423:0.849457:0.227423:0.832959:0.107285:0.832959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 xy:@0.196057:0.849573:0.210641:0.849573:0.210641:0.833104:0.196057:0.833104:0.000000:0.000000 ..:@0.268691:0.848782:0.273819:0.848782:0.273819:0.831254:0.268691:0.831254:0.000000:0.000000 ..:@0.254793:0.895989:0.259921:0.895989:0.259921:0.878461:0.254793:0.878461:0.000000:0.000000 33:@0.201132:0.844543:0.208558:0.844543:0.208558:0.834398:0.201132:0.834398:0.000000:0.000000 3 3:@0.240825:0.842112:0.248258:0.842107:0.248258:0.831961:0.240825:0.831967:0.000000:0.000000:0.000000 1 1:@0.260362:0.829672:0.267794:0.829667:0.267794:0.819522:0.260362:0.819527:0.000000:0.000000:0.000000 3 3:@0.260089:0.842111:0.267509:0.842112:0.267509:0.831967:0.260089:0.831966:0.000000:0.000000:0.000000 1 1:@0.202062:0.869586:0.209484:0.869590:0.209484:0.859445:0.202062:0.859441:0.000000:0.000000:0.000000 3 3:@0.201789:0.882025:0.209212:0.882029:0.209212:0.871884:0.201789:0.871880:0.000000:0.000000:0.000000 1 1:@0.243408:0.866945:0.250830:0.866949:0.250830:0.856804:0.243408:0.856800:0.000000:0.000000:0.000000 3 3:@0.243136:0.879384:0.250558:0.879388:0.250558:0.869243:0.243136:0.869239:0.000000:0.000000:0.000000 1 1:@0.243408:0.898848:0.250830:0.898852:0.250830:0.888707:0.243408:0.888703:0.000000:0.000000:0.000000 3 3:@0.243136:0.911287:0.250558:0.911291:0.250558:0.901146:0.243136:0.901142:0.000000:0.000000:0.000000 abab:@0.170772:0.848892:0.192152:0.848892:0.197280:0.831395:0.175901:0.831395:0.000000:0.000000:0.000000:0.000000 abab:@0.226977:0.848892:0.258264:0.848892:0.263393:0.831395:0.232106:0.831395:0.000000:0.000000:0.000000:0.000000 aa:@0.175792:0.886160:0.187531:0.886160:0.192660:0.868663:0.180921:0.868663:0.000000:0.000000 bb:@0.175801:0.907774:0.187848:0.907774:0.192977:0.890277:0.180930:0.890277:0.000000:0.000000 aa:@0.229255:0.886160:0.240994:0.886160:0.246123:0.868663:0.234384:0.868663:0.000000:0.000000 bb:@0.229281:0.918051:0.241328:0.918051:0.246457:0.900554:0.234410:0.900554:0.000000:0.000000 ( )):@0.164404:0.851776:0.202566:0.851776:0.202566:0.824754:0.164404:0.824754:0.000000:0.000000:0.000000:0.000000 ==:@0.213029:0.849366:0.226468:0.849366:0.226468:0.829349:0.213029:0.829349:0.000000:0.000000 ==:@0.213696:0.896577:0.227134:0.896577:0.227134:0.876561:0.213696:0.876561:0.000000:0.000000 :@0.247254:0.849461:0.251397:0.849461:0.251397:0.832963:0.247254:0.832963:0.000000 (:@0.166603:0.851776:0.173419:0.851776:0.173419:0.824754:0.166603:0.824754:0.000000 Luego, :@0.271234:0.849461:0.324712:0.849461:0.324712:0.832963:0.271234:0.832963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.324713:0.897383:0.358562:0.897383:0.358562:0.875404:0.324713:0.875404:0.000000:0.000000:0.000000 =:@0.555281:0.848485:0.565857:0.848485:0.565857:0.832204:0.555281:0.832204:0.000000 =:@0.592559:0.848485:0.603136:0.848485:0.603136:0.832204:0.592559:0.832204:0.000000 ( ):@0.324713:0.850784:0.357348:0.850784:0.357348:0.828805:0.324713:0.828805:0.000000:0.000000:0.000000 .:@0.422885:0.894448:0.425640:0.894448:0.425640:0.877951:0.422885:0.877951:0.000000 3:@0.357222:0.837485:0.362140:0.837485:0.362140:0.827936:0.357222:0.827936:0.000000 1:@0.403922:0.829869:0.408839:0.829869:0.408839:0.820320:0.403922:0.820320:0.000000 3:@0.403665:0.841577:0.408583:0.841577:0.408583:0.832028:0.403665:0.832028:0.000000 1:@0.422053:0.829869:0.426970:0.829869:0.426970:0.820320:0.422053:0.820320:0.000000 3:@0.421796:0.841577:0.426714:0.841577:0.426714:0.832028:0.421796:0.832028:0.000000 1:@0.479211:0.829869:0.484129:0.829869:0.484129:0.820320:0.479211:0.820320:0.000000 3:@0.478966:0.841577:0.483883:0.841577:0.483883:0.832028:0.478966:0.832028:0.000000 3:@0.496907:0.828497:0.501825:0.828497:0.501825:0.818948:0.496907:0.818948:0.000000 1:@0.527215:0.829869:0.532133:0.829869:0.532133:0.820320:0.527215:0.820320:0.000000 3:@0.526959:0.841577:0.531876:0.841577:0.531876:0.832028:0.526959:0.832028:0.000000 3:@0.544911:0.828497:0.549829:0.828497:0.549829:0.818948:0.544911:0.818948:0.000000 3:@0.617474:0.839813:0.622392:0.839813:0.622392:0.830264:0.617474:0.830264:0.000000 1:@0.359524:0.878754:0.364442:0.878754:0.364442:0.869205:0.359524:0.869205:0.000000 3:@0.359279:0.890453:0.364196:0.890453:0.364196:0.880904:0.359279:0.880904:0.000000 1:@0.396924:0.876469:0.401841:0.876469:0.401841:0.866920:0.396924:0.866920:0.000000 3:@0.396667:0.888177:0.401585:0.888177:0.401585:0.878628:0.396667:0.878628:0.000000 1:@0.415044:0.876469:0.419961:0.876469:0.419961:0.866920:0.415044:0.866920:0.000000 3:@0.414787:0.888177:0.419705:0.888177:0.419705:0.878628:0.414787:0.878628:0.000000 xy:@0.331949:0.847704:0.347152:0.847704:0.351875:0.831591:0.336672:0.831591:0.000000:0.000000 z:@0.606518:0.847704:0.613423:0.847704:0.618146:0.831591:0.611241:0.831591:0.000000 =:@0.367602:0.848485:0.378179:0.848485:0.378179:0.832204:0.367602:0.832204:0.000000 =:@0.442882:0.848485:0.453459:0.848485:0.453459:0.832204:0.442882:0.832204:0.000000 =:@0.370480:0.895085:0.381057:0.895085:0.381057:0.878804:0.370480:0.878804:0.000000 3:@0.440356:0.828498:0.445274:0.828498:0.445274:0.818949:0.440356:0.818949:0.000000 ab:@0.388382:0.848308:0.421942:0.848308:0.421942:0.831839:0.388382:0.831839:0.000000:0.000000 ab:@0.385241:0.894802:0.413772:0.894802:0.413772:0.878333:0.385241:0.878333:0.000000:0.000000 a:@0.467696:0.848302:0.476674:0.848302:0.476674:0.831833:0.467696:0.831833:0.000000 ab:@0.570727:0.848302:0.588857:0.848308:0.588857:0.831839:0.570727:0.831833:0.000000:0.000000 ab:@0.333005:0.894902:0.351134:0.894902:0.351134:0.878433:0.333005:0.878433:0.000000:0.000000 b:@0.515703:0.848308:0.524970:0.848308:0.524970:0.831839:0.515703:0.831839:0.000000 .:@0.591878:0.849465:0.594633:0.849465:0.594633:0.832967:0.591878:0.832967:0.000000 Así, = :@0.104775:0.901633:0.155009:0.901629:0.155009:0.885131:0.104775:0.885135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z :@0.131004:0.901745:0.141215:0.901745:0.141215:0.885276:0.131004:0.885276:0.000000:0.000000 ..:@0.196478:0.900955:0.203667:0.900955:0.203667:0.883427:0.196478:0.883427:0.000000:0.000000 ..:@0.182580:0.948162:0.189769:0.948162:0.189769:0.930634:0.182580:0.930634:0.000000:0.000000 11:@0.129192:0.884278:0.138678:0.884278:0.138678:0.874133:0.129192:0.874133:0.000000:0.000000 33:@0.128919:0.896717:0.138406:0.896717:0.138406:0.886572:0.128919:0.886572:0.000000:0.000000 11:@0.168892:0.881841:0.178378:0.881841:0.178378:0.871696:0.168892:0.871696:0.000000:0.000000 33:@0.168612:0.894286:0.178106:0.894281:0.178106:0.884136:0.168612:0.884141:0.000000:0.000000 11:@0.188149:0.881846:0.197642:0.881841:0.197642:0.871696:0.188149:0.871701:0.000000:0.000000 33:@0.187876:0.894285:0.197369:0.894281:0.197369:0.884136:0.187876:0.884140:0.000000:0.000000 11:@0.129849:0.921760:0.139342:0.921756:0.139342:0.911610:0.129849:0.911615:0.000000:0.000000 33:@0.129576:0.934199:0.139069:0.934195:0.139069:0.924049:0.129576:0.924054:0.000000:0.000000 11:@0.171195:0.919119:0.180688:0.919115:0.180688:0.908970:0.171195:0.908974:0.000000:0.000000 33:@0.170923:0.931559:0.180416:0.931554:0.180416:0.921409:0.170923:0.921413:0.000000:0.000000 11:@0.171195:0.951022:0.180688:0.951017:0.180688:0.940872:0.171195:0.940877:0.000000:0.000000 33:@0.170923:0.963461:0.180416:0.963457:0.180416:0.953312:0.170923:0.953316:0.000000:0.000000 abab:@0.098559:0.901065:0.121999:0.901065:0.127128:0.883568:0.103688:0.883568:0.000000:0.000000:0.000000:0.000000 abab:@0.154765:0.901065:0.188111:0.901065:0.193240:0.883568:0.159893:0.883568:0.000000:0.000000:0.000000:0.000000 aa:@0.103579:0.938333:0.117379:0.938333:0.122508:0.920836:0.108708:0.920836:0.000000:0.000000 bb:@0.103588:0.959947:0.117695:0.959947:0.122824:0.942450:0.108717:0.942450:0.000000:0.000000 aa:@0.157042:0.938333:0.170842:0.938333:0.175971:0.920836:0.162171:0.920836:0.000000:0.000000 bb:@0.157068:0.970224:0.171175:0.970224:0.176304:0.952727:0.162197:0.952727:0.000000:0.000000 ( )):@0.092190:0.903949:0.132414:0.903949:0.132414:0.876927:0.092190:0.876927:0.000000:0.000000:0.000000:0.000000 ==:@0.140816:0.901539:0.156315:0.901539:0.156315:0.881522:0.140816:0.881522:0.000000:0.000000 ==:@0.141483:0.948752:0.156982:0.948752:0.156982:0.928735:0.141483:0.928735:0.000000:0.000000 es tal que = y como = :@0.175234:0.901635:0.394438:0.901635:0.394438:0.885137:0.175234:0.885137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.096451:0.903949:0.103267:0.903949:0.103267:0.876927:0.096451:0.876927:0.000000 z:@0.266158:0.901751:0.272804:0.901751:0.272804:0.885282:0.266158:0.885282:0.000000 3:@0.272227:0.895282:0.277180:0.895282:0.277180:0.885664:0.272227:0.885664:0.000000 ab,:@0.294201:0.901751:0.313601:0.901751:0.313601:0.885282:0.294201:0.885282:0.000000:0.000000:0.000000 z:@0.370431:0.901751:0.377078:0.901751:0.377078:0.885282:0.370431:0.885282:0.000000 .:@0.497190:0.900955:0.500005:0.900955:0.500005:0.883427:0.497190:0.883427:0.000000 .:@0.483823:0.948162:0.486638:0.948162:0.486638:0.930634:0.483823:0.930634:0.000000 1:@0.432471:0.884278:0.437496:0.884278:0.437496:0.874133:0.432471:0.874133:0.000000 3:@0.432209:0.896717:0.437234:0.896717:0.437234:0.886572:0.432209:0.886572:0.000000 1:@0.470656:0.881841:0.475681:0.881841:0.475681:0.871696:0.470656:0.871696:0.000000 3:@0.470394:0.894281:0.475419:0.894281:0.475419:0.884136:0.470394:0.884136:0.000000 1:@0.489184:0.881841:0.494210:0.881841:0.494210:0.871696:0.489184:0.871696:0.000000 3:@0.488922:0.894281:0.493947:0.894281:0.493947:0.884136:0.488922:0.884136:0.000000 1:@0.433109:0.921756:0.438134:0.921756:0.438134:0.911610:0.433109:0.911610:0.000000 3:@0.432847:0.934195:0.437872:0.934195:0.437872:0.924049:0.432847:0.924049:0.000000 1:@0.472878:0.919115:0.477903:0.919115:0.477903:0.908970:0.472878:0.908970:0.000000 3:@0.472616:0.931554:0.477641:0.931554:0.477641:0.921409:0.472616:0.921409:0.000000 1:@0.472878:0.951017:0.477903:0.951017:0.477903:0.940872:0.472878:0.940872:0.000000 3:@0.472616:0.963457:0.477641:0.963457:0.477641:0.953312:0.472616:0.953312:0.000000 ab:@0.403007:0.901065:0.421454:0.901065:0.426387:0.883568:0.407940:0.883568:0.000000:0.000000 ab:@0.457068:0.901065:0.485043:0.901065:0.489977:0.883568:0.462001:0.883568:0.000000:0.000000 a:@0.407836:0.938333:0.417010:0.938333:0.421943:0.920836:0.412769:0.920836:0.000000 b:@0.407845:0.959947:0.417314:0.959947:0.422248:0.942450:0.412778:0.942450:0.000000 a:@0.459259:0.938333:0.468433:0.938333:0.473366:0.920836:0.464192:0.920836:0.000000 b:@0.459284:0.970224:0.468754:0.970224:0.473687:0.952727:0.464217:0.952727:0.000000 ( ):@0.396880:0.903949:0.431471:0.903949:0.431471:0.876927:0.396880:0.876927:0.000000:0.000000:0.000000 =:@0.443651:0.901539:0.454460:0.901539:0.454460:0.881522:0.443651:0.881522:0.000000 =:@0.444293:0.948752:0.455101:0.948752:0.455101:0.928735:0.444293:0.928735:0.000000 , resulta que :@0.439024:0.901635:0.520921:0.901635:0.520921:0.885137:0.439024:0.885137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.520342:0.903854:0.551167:0.903854:0.551167:0.882011:0.520342:0.882011:0.000000:0.000000:0.000000 =:@0.730308:0.855260:0.739940:0.855260:0.739940:0.839081:0.730308:0.839081:0.000000 =:@0.764256:0.855260:0.773887:0.855260:0.773887:0.839081:0.764256:0.839081:0.000000 ( ):@0.520342:0.857545:0.550061:0.857545:0.550061:0.835702:0.520342:0.835702:0.000000:0.000000:0.000000 .:@0.609743:0.900937:0.612252:0.900937:0.612252:0.884542:0.609743:0.884542:0.000000 3:@0.549947:0.844329:0.554425:0.844329:0.554425:0.834839:0.549947:0.834839:0.000000 1:@0.592474:0.836761:0.596952:0.836761:0.596952:0.827271:0.592474:0.827271:0.000000 3:@0.592240:0.848396:0.596718:0.848396:0.596718:0.838906:0.592240:0.838906:0.000000 1:@0.608985:0.836761:0.613463:0.836761:0.613463:0.827271:0.608985:0.827271:0.000000 3:@0.608751:0.848396:0.613230:0.848396:0.613230:0.838906:0.608751:0.838906:0.000000 1:@0.661037:0.836761:0.665515:0.836761:0.665515:0.827271:0.661037:0.827271:0.000000 3:@0.660813:0.848396:0.665291:0.848396:0.665291:0.838906:0.660813:0.838906:0.000000 3:@0.677152:0.835397:0.681630:0.835397:0.681630:0.825907:0.677152:0.825907:0.000000 1:@0.704752:0.836761:0.709230:0.836761:0.709230:0.827271:0.704752:0.827271:0.000000 3:@0.704518:0.848396:0.708996:0.848396:0.708996:0.838906:0.704518:0.838906:0.000000 3:@0.720867:0.835397:0.725345:0.835397:0.725345:0.825907:0.720867:0.825907:0.000000 3:@0.786952:0.846641:0.791430:0.846641:0.791430:0.837151:0.786952:0.837151:0.000000 1:@0.552049:0.885339:0.556527:0.885339:0.556527:0.875850:0.552049:0.875850:0.000000 3:@0.551825:0.896966:0.556304:0.896966:0.556304:0.887476:0.551825:0.887476:0.000000 1:@0.586107:0.883068:0.590585:0.883068:0.590585:0.873579:0.586107:0.873579:0.000000 3:@0.585873:0.894704:0.590351:0.894704:0.590351:0.885214:0.585873:0.885214:0.000000 1:@0.602608:0.883068:0.607086:0.883068:0.607086:0.873579:0.602608:0.873579:0.000000 3:@0.602374:0.894704:0.606852:0.894704:0.606852:0.885214:0.602374:0.885214:0.000000 xy:@0.526933:0.854485:0.540777:0.854485:0.545078:0.838473:0.531234:0.838473:0.000000:0.000000 z:@0.776972:0.854485:0.783260:0.854485:0.787561:0.838473:0.781273:0.838473:0.000000 =:@0.559399:0.855260:0.569030:0.855260:0.569030:0.839081:0.559399:0.839081:0.000000 =:@0.627953:0.855260:0.637584:0.855260:0.637584:0.839081:0.627953:0.839081:0.000000 =:@0.562020:0.901569:0.571652:0.901569:0.571652:0.885390:0.562020:0.885390:0.000000 3:@0.625653:0.835397:0.630131:0.835397:0.630131:0.825908:0.625653:0.825908:0.000000 ab:@0.578322:0.855084:0.608884:0.855084:0.608884:0.838717:0.578322:0.838717:0.000000:0.000000 ab:@0.575462:0.901294:0.601445:0.901294:0.601445:0.884928:0.575462:0.884928:0.000000:0.000000 a:@0.650551:0.855084:0.658726:0.855084:0.658726:0.838717:0.650551:0.838717:0.000000 ab:@0.744376:0.855084:0.760884:0.855084:0.760884:0.838717:0.744376:0.838717:0.000000:0.000000 ab:@0.527883:0.901395:0.544392:0.901395:0.544392:0.885029:0.527883:0.885029:0.000000:0.000000 b:@0.694253:0.855084:0.702691:0.855084:0.702691:0.838717:0.694253:0.838717:0.000000 .:@0.711080:0.642274:0.713595:0.642274:0.713595:0.627211:0.711080:0.627211:0.000000 Competencia :@0.684804:0.096006:0.782426:0.096006:0.782426:0.080533:0.684804:0.080533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática:@0.684804:0.108574:0.768866:0.108574:0.768866:0.093101:0.684804:0.093101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Recuerda la definición::@0.685042:0.133048:0.831336:0.133048:0.831336:0.117985:0.685042:0.117985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i):@0.638498:0.157722:0.648120:0.157722:0.648120:0.142461:0.638498:0.142461:0.000000:0.000000 Sea :@0.648120:0.157524:0.677669:0.157524:0.677669:0.142461:0.648120:0.142461:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.677634:0.157630:0.689613:0.157630:0.689613:0.142593:0.677634:0.142593:0.000000:0.000000 :@0.689597:0.157326:0.704250:0.157326:0.704250:0.143953:0.689597:0.143953:0.000000 :@0.704250:0.157524:0.708032:0.157524:0.708032:0.142461:0.704250:0.142461:0.000000 R:@0.707997:0.156640:0.720696:0.156640:0.720696:0.144362:0.707997:0.144362:0.000000 +:@0.720704:0.150470:0.726457:0.150470:0.726457:0.141688:0.720704:0.141688:0.000000 , :@0.726457:0.157527:0.732754:0.157527:0.732754:0.142464:0.726457:0.142464:0.000000:0.000000 n :@0.732719:0.157632:0.745049:0.157632:0.745049:0.142596:0.732719:0.142596:0.000000:0.000000 :@0.745014:0.157329:0.759667:0.157329:0.759667:0.143955:0.745014:0.143955:0.000000 . Se define:@0.759667:0.157527:0.846648:0.157527:0.846648:0.142464:0.759667:0.142464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Z:@0.763413:0.156642:0.775146:0.156642:0.775146:0.144365:0.763413:0.144365:0.000000 +:@0.775159:0.150470:0.780912:0.150470:0.780912:0.141688:0.775159:0.141688:0.000000 :@0.846655:0.157847:0.850797:0.157847:0.850797:0.141350:0.846655:0.141350:0.000000 1:@0.656258:0.173437:0.661275:0.173437:0.661275:0.165062:0.656258:0.165062:0.000000 2:@0.656258:0.183982:0.661275:0.183982:0.661275:0.175606:0.656258:0.175606:0.000000 1:@0.721138:0.174077:0.726156:0.174077:0.726156:0.165702:0.721138:0.165702:0.000000 2:@0.721138:0.184607:0.726156:0.184607:0.726156:0.176232:0.721138:0.176232:0.000000 a:@0.647117:0.188617:0.655197:0.188617:0.655197:0.173795:0.647117:0.173795:0.000000 a:@0.699047:0.188617:0.707127:0.188617:0.707127:0.173795:0.699047:0.173795:0.000000 n:@0.671147:0.168929:0.676024:0.168929:0.676024:0.160350:0.671147:0.160350:0.000000 n:@0.707235:0.181342:0.712113:0.181342:0.712113:0.172763:0.707235:0.172763:0.000000 ():@0.692632:0.193679:0.719940:0.193679:0.719940:0.170381:0.692632:0.170381:0.000000:0.000000 =:@0.680522:0.189085:0.690041:0.189085:0.690041:0.174432:0.680522:0.174432:0.000000 .:@0.731426:0.188630:0.734181:0.188630:0.734181:0.172132:0.731426:0.172132:0.000000 ii):@0.638503:0.223044:0.651661:0.223044:0.651661:0.207783:0.638503:0.207783:0.000000:0.000000:0.000000 Sea :@0.651485:0.222846:0.680366:0.222846:0.680366:0.207783:0.651485:0.207783:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.680190:0.222952:0.691993:0.222952:0.691993:0.207915:0.680190:0.207915:0.000000:0.000000 :@0.691819:0.222648:0.706471:0.222648:0.706471:0.209275:0.691819:0.209275:0.000000 :@0.706295:0.222846:0.710077:0.222846:0.710077:0.207783:0.706295:0.207783:0.000000 R:@0.709901:0.221961:0.722601:0.221961:0.722601:0.209684:0.709901:0.209684:0.000000 +:@0.722425:0.215789:0.728178:0.215789:0.728178:0.207008:0.722425:0.207008:0.000000 , :@0.728075:0.222846:0.734196:0.222846:0.734196:0.207783:0.728075:0.207783:0.000000:0.000000 n :@0.734021:0.222952:0.746175:0.222952:0.746175:0.207915:0.734021:0.207915:0.000000:0.000000 :@0.745999:0.222648:0.760652:0.222648:0.760652:0.209275:0.745999:0.209275:0.000000 . Se define:@0.760476:0.222846:0.845509:0.222846:0.845509:0.207783:0.760476:0.207783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Z:@0.764082:0.221961:0.775814:0.221961:0.775814:0.209684:0.764082:0.209684:0.000000 +:@0.775637:0.215789:0.781390:0.215789:0.781390:0.207008:0.775637:0.207008:0.000000 :@0.845506:0.223167:0.849648:0.223167:0.849648:0.206669:0.845506:0.206669:0.000000 =:@0.669338:0.255658:0.679676:0.255658:0.679676:0.239878:0.669338:0.239878:0.000000 1:@0.690327:0.247097:0.698454:0.247097:0.698454:0.231317:0.690327:0.231317:0.000000 .:@0.706138:0.255658:0.708773:0.255658:0.708773:0.239878:0.706138:0.239878:0.000000 2:@0.657192:0.249971:0.661902:0.249971:0.661902:0.240826:0.657192:0.240826:0.000000 2:@0.695041:0.270009:0.699751:0.270009:0.699751:0.260864:0.695041:0.260864:0.000000 a:@0.641487:0.255769:0.650074:0.255769:0.650074:0.240016:0.641487:0.240016:0.000000 a:@0.685410:0.275807:0.693997:0.275807:0.693997:0.260054:0.685410:0.260054:0.000000 n:@0.657088:0.238797:0.662279:0.238797:0.662279:0.229668:0.657088:0.229668:0.000000 n:@0.694939:0.258836:0.700129:0.258836:0.700129:0.249707:0.694939:0.249707:0.000000 −:@0.650180:0.243960:0.656043:0.243960:0.656043:0.234935:0.650180:0.234935:0.000000 iii):@0.638503:0.306672:0.654845:0.306672:0.654845:0.291411:0.638503:0.291411:0.000000:0.000000:0.000000:0.000000 Sea :@0.654493:0.306474:0.682670:0.306474:0.682670:0.291411:0.654493:0.291411:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.682318:0.306580:0.693945:0.306580:0.693945:0.291543:0.682318:0.291543:0.000000:0.000000 :@0.693595:0.306276:0.708248:0.306276:0.708248:0.292903:0.693595:0.292903:0.000000 :@0.707896:0.306474:0.711678:0.306474:0.711678:0.291411:0.707896:0.291411:0.000000 R:@0.711326:0.305590:0.724026:0.305590:0.724026:0.293312:0.711326:0.293312:0.000000 +:@0.723673:0.299417:0.729426:0.299417:0.729426:0.290636:0.723673:0.290636:0.000000 , :@0.729323:0.306474:0.735269:0.306474:0.735269:0.291411:0.729323:0.291411:0.000000:0.000000 n :@0.734917:0.306580:0.746896:0.306580:0.746896:0.291543:0.734917:0.291543:0.000000:0.000000 :@0.746544:0.306276:0.761196:0.306276:0.761196:0.292903:0.746544:0.292903:0.000000 . Se define:@0.760844:0.306474:0.843942:0.306474:0.843942:0.291411:0.760844:0.291411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Z:@0.764275:0.305590:0.776007:0.305590:0.776007:0.293312:0.764275:0.293312:0.000000 +:@0.775655:0.299417:0.781408:0.299417:0.781408:0.290636:0.775655:0.290636:0.000000 :@0.843941:0.306795:0.848083:0.306795:0.848083:0.290297:0.843941:0.290297:0.000000 =:@0.663265:0.341801:0.673603:0.341801:0.673603:0.326021:0.663265:0.326021:0.000000 .:@0.716982:0.341801:0.719617:0.341801:0.719617:0.326021:0.716982:0.326021:0.000000 3:@0.651225:0.335799:0.655935:0.335799:0.655935:0.326654:0.651225:0.326654:0.000000 1:@0.707923:0.325468:0.712633:0.325468:0.712633:0.316322:0.707923:0.316322:0.000000 3:@0.707710:0.336705:0.712419:0.336705:0.712419:0.327560:0.707710:0.327560:0.000000 a:@0.641487:0.341912:0.650074:0.341912:0.650074:0.326159:0.641487:0.326159:0.000000 a:@0.684313:0.341912:0.692900:0.341912:0.692900:0.326159:0.684313:0.326159:0.000000 n:@0.651016:0.324626:0.656206:0.324626:0.656206:0.315496:0.651016:0.315496:0.000000 n:@0.692997:0.334172:0.698188:0.334172:0.698188:0.325043:0.692997:0.325043:0.000000 ():@0.677505:0.347483:0.706620:0.347483:0.706620:0.322567:0.677505:0.322567:0.000000:0.000000 iv):@0.638503:0.380804:0.654968:0.380804:0.654968:0.365543:0.638503:0.365543:0.000000:0.000000:0.000000 Sea :@0.654616:0.380606:0.682795:0.380606:0.682795:0.365543:0.654616:0.365543:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.682443:0.380711:0.694070:0.380711:0.694070:0.365675:0.682443:0.365675:0.000000:0.000000 :@0.693718:0.380408:0.708371:0.380408:0.708371:0.367034:0.693718:0.367034:0.000000 :@0.708019:0.380606:0.711801:0.380606:0.711801:0.365543:0.708019:0.365543:0.000000 R:@0.711449:0.379721:0.724149:0.379721:0.724149:0.367444:0.711449:0.367444:0.000000 +:@0.723797:0.373549:0.729550:0.373549:0.729550:0.364767:0.723797:0.364767:0.000000 , :@0.729447:0.380606:0.735393:0.380606:0.735393:0.365543:0.729447:0.365543:0.000000:0.000000 n :@0.735041:0.380711:0.747020:0.380711:0.747020:0.365675:0.735041:0.365675:0.000000:0.000000 :@0.746668:0.380408:0.761320:0.380408:0.761320:0.367034:0.746668:0.367034:0.000000 . Se define:@0.760968:0.380606:0.844066:0.380606:0.844066:0.365543:0.760968:0.365543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Z:@0.764398:0.379721:0.776131:0.379721:0.776131:0.367444:0.764398:0.367444:0.000000 +:@0.775778:0.373549:0.781531:0.373549:0.781531:0.364767:0.775778:0.364767:0.000000 =:@0.666460:0.415932:0.676798:0.415932:0.676798:0.400151:0.666460:0.400151:0.000000 1:@0.687449:0.407371:0.695575:0.407371:0.695575:0.391590:0.687449:0.391590:0.000000 .:@0.703260:0.415932:0.705895:0.415932:0.705895:0.400151:0.703260:0.400151:0.000000 3:@0.657298:0.409931:0.662008:0.409931:0.662008:0.400786:0.657298:0.400786:0.000000 3:@0.692274:0.430282:0.696983:0.430282:0.696983:0.421137:0.692274:0.421137:0.000000 a:@0.641487:0.416042:0.650074:0.416042:0.650074:0.400289:0.641487:0.400289:0.000000 a:@0.682530:0.436395:0.691118:0.436395:0.691118:0.420643:0.682530:0.420643:0.000000 n:@0.657088:0.398758:0.662279:0.398758:0.662279:0.389628:0.657088:0.389628:0.000000 n:@0.692064:0.419108:0.697255:0.419108:0.697255:0.409979:0.692064:0.409979:0.000000 −:@0.650179:0.403919:0.656042:0.403919:0.656042:0.394894:0.650179:0.394894:0.000000 Definición. :@0.638503:0.470714:0.726717:0.470714:0.726717:0.453768:0.638503:0.453768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean :@0.726717:0.470251:0.764515:0.470251:0.764515:0.453754:0.726717:0.453754:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.764515:0.470036:0.776142:0.470036:0.776142:0.455000:0.764515:0.455000:0.000000:0.000000 :@0.775790:0.469733:0.790443:0.469733:0.790443:0.456359:0.775790:0.456359:0.000000 :@0.790091:0.469931:0.793873:0.469931:0.793873:0.454868:0.790091:0.454868:0.000000 R:@0.793521:0.469046:0.806221:0.469046:0.806221:0.456769:0.793521:0.456769:0.000000 +:@0.805868:0.462874:0.811621:0.462874:0.811621:0.454092:0.805868:0.454092:0.000000 , :@0.811519:0.469931:0.820894:0.469931:0.820894:0.454868:0.811519:0.454868:0.000000:0.000000:0.000000 n :@0.638503:0.490156:0.650482:0.490156:0.650482:0.475119:0.638503:0.475119:0.000000:0.000000 :@0.649902:0.489852:0.664554:0.489852:0.664554:0.476479:0.649902:0.476479:0.000000 . :@0.664202:0.490050:0.690386:0.490048:0.690386:0.474984:0.664202:0.474987:0.000000:0.000000:0.000000:0.000000 Z:@0.667404:0.489166:0.679136:0.489166:0.679136:0.476888:0.667404:0.476888:0.000000 +:@0.678790:0.482991:0.684543:0.482991:0.684543:0.474209:0.678790:0.474209:0.000000 La raíz n-ésima de se :@0.689808:0.490368:0.850788:0.490368:0.850788:0.473870:0.689808:0.473870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.819790:0.490484:0.828768:0.490484:0.828768:0.474015:0.819790:0.474015:0.000000 denota con :@0.638504:0.510481:0.719033:0.510481:0.719033:0.493983:0.638504:0.493983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.721438:0.511693:0.730025:0.511693:0.730025:0.495940:0.721438:0.495940:0.000000 1:@0.731436:0.498926:0.734660:0.498926:0.734660:0.492348:0.731436:0.492348:0.000000 n:@0.731066:0.505250:0.734806:0.505250:0.734806:0.498672:0.731066:0.498672:0.000000 o también :@0.739653:0.510485:0.815845:0.510485:0.815845:0.493987:0.739653:0.493987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.831342:0.509178:0.839929:0.509178:0.839929:0.493425:0.831342:0.493425:0.000000 n:@0.820401:0.501519:0.825591:0.501519:0.825591:0.492390:0.820401:0.492390:0.000000 :@0.846000:0.510485:0.850142:0.510485:0.850142:0.493987:0.846000:0.493987:0.000000 y es un número real no nega-:@0.638494:0.530597:0.845673:0.530597:0.845673:0.514100:0.638494:0.514100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tivo tal que :@0.638494:0.554484:0.737922:0.554484:0.737922:0.537986:0.638494:0.537986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x,:@0.670051:0.554599:0.680492:0.554599:0.680492:0.538130:0.670051:0.538130:0.000000:0.000000 3:@0.751872:0.552829:0.756160:0.552829:0.756160:0.544502:0.751872:0.544502:0.000000 1:@0.790479:0.543419:0.794768:0.543419:0.794768:0.535092:0.790479:0.535092:0.000000 x =:@0.743007:0.558394:0.771093:0.559112:0.771093:0.544769:0.743007:0.544051:0.000000:0.000000:0.000000 a:@0.780692:0.558394:0.788510:0.558394:0.788510:0.544051:0.780692:0.544051:0.000000 a:@0.823745:0.558394:0.831564:0.558394:0.831564:0.544051:0.823745:0.544051:0.000000 =:@0.808778:0.559112:0.818258:0.559112:0.818258:0.544769:0.808778:0.544769:0.000000 n:@0.751683:0.542664:0.756408:0.542664:0.756408:0.534352:0.751683:0.534352:0.000000 n:@0.802403:0.542664:0.807128:0.542664:0.807128:0.534352:0.802403:0.534352:0.000000 n:@0.789917:0.551349:0.794643:0.551349:0.794643:0.543037:0.789917:0.543037:0.000000 ():@0.775813:0.559464:0.802323:0.559464:0.802323:0.533350:0.775813:0.533350:0.000000:0.000000 .:@0.831638:0.554490:0.834393:0.554490:0.834393:0.537993:0.831638:0.537993:0.000000 Definición. :@0.638504:0.597708:0.726718:0.597708:0.726718:0.580762:0.638504:0.580762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean :@0.726718:0.597246:0.764516:0.597246:0.764516:0.580748:0.726718:0.580748:0.000000:0.000000:0.000000:0.000000:0.000000 a :@0.764515:0.597024:0.776142:0.597024:0.776142:0.581987:0.764515:0.581987:0.000000:0.000000 :@0.775790:0.596720:0.790443:0.596720:0.790443:0.583347:0.775790:0.583347:0.000000 :@0.790091:0.596918:0.793873:0.596918:0.793873:0.581855:0.790091:0.581855:0.000000 R:@0.793521:0.596034:0.806221:0.596034:0.806221:0.583756:0.793521:0.583756:0.000000 +:@0.805868:0.589862:0.811621:0.589862:0.811621:0.581080:0.805868:0.581080:0.000000 , :@0.811519:0.596918:0.820894:0.596918:0.820894:0.581855:0.811519:0.581855:0.000000:0.000000:0.000000 m, n :@0.638503:0.617143:0.668371:0.617143:0.668371:0.602106:0.638503:0.602106:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.667351:0.616839:0.682003:0.616839:0.682003:0.603466:0.667351:0.603466:0.000000 :@0.681634:0.617037:0.685416:0.617037:0.685416:0.601974:0.681634:0.601974:0.000000 Z:@0.684396:0.616153:0.696128:0.616153:0.696128:0.603875:0.684396:0.603875:0.000000 +:@0.695776:0.609978:0.701530:0.609978:0.701530:0.601197:0.695776:0.601197:0.000000 . Se define :@0.701427:0.617356:0.776176:0.617356:0.776176:0.600858:0.701427:0.600858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.785941:0.615710:0.790820:0.615710:0.790820:0.607129:0.785941:0.607129:0.000000 a =:@0.776788:0.621395:0.805801:0.622136:0.805801:0.607329:0.776788:0.606588:0.000000:0.000000:0.000000 a:@0.817042:0.621395:0.825114:0.621395:0.825114:0.606588:0.817042:0.606588:0.000000 m:@0.785744:0.605156:0.793453:0.605156:0.793453:0.596575:0.785744:0.596575:0.000000 n:@0.840266:0.615710:0.845145:0.615710:0.845145:0.607129:0.840266:0.607129:0.000000 1:@0.840065:0.605155:0.844271:0.605155:0.844271:0.596574:0.840065:0.596574:0.000000 m:@0.825208:0.614121:0.832918:0.614121:0.832918:0.605539:0.825208:0.605539:0.000000 ():@0.810654:0.622499:0.838022:0.622499:0.838022:0.595541:0.810654:0.595541:0.000000:0.000000 :@0.846655:0.617356:0.850797:0.617356:0.850797:0.600858:0.846655:0.600858:0.000000 Teorema. :@0.638494:0.658058:0.713993:0.658058:0.713993:0.641112:0.638494:0.641112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sean :@0.713993:0.657595:0.751791:0.657595:0.751791:0.641097:0.713993:0.641097:0.000000:0.000000:0.000000:0.000000:0.000000 a, b :@0.751802:0.657374:0.776938:0.657374:0.776938:0.642337:0.751802:0.642337:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.776586:0.657071:0.791238:0.657071:0.791238:0.643697:0.776586:0.643697:0.000000 :@0.790887:0.657269:0.794668:0.657269:0.794668:0.642205:0.790887:0.642205:0.000000 R:@0.794317:0.656384:0.807017:0.656384:0.807017:0.644106:0.794317:0.644106:0.000000 +:@0.806664:0.650212:0.812417:0.650212:0.812417:0.641430:0.806664:0.641430:0.000000 ,:@0.812313:0.657269:0.814828:0.657269:0.814828:0.642205:0.812313:0.642205:0.000000 :@0.814829:0.657589:0.822766:0.657589:0.822766:0.641091:0.814829:0.641091:0.000000:0.000000 m, n :@0.638503:0.677491:0.669040:0.677491:0.669040:0.662454:0.638503:0.662454:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.668688:0.677187:0.683340:0.677187:0.683340:0.663814:0.668688:0.663814:0.000000 :@0.682989:0.677385:0.686770:0.677385:0.686770:0.662322:0.682989:0.662322:0.000000 Z:@0.686419:0.676501:0.698151:0.676501:0.698151:0.664223:0.686419:0.664223:0.000000 +:@0.697798:0.670329:0.703552:0.670329:0.703552:0.661547:0.697798:0.661547:0.000000 . Se verifican las :@0.703449:0.677706:0.817208:0.677706:0.817208:0.661208:0.703449:0.661208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 siguientes propiedades::@0.638506:0.697818:0.803378:0.697818:0.803378:0.681321:0.638506:0.681321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i):@0.638503:0.730313:0.647949:0.730313:0.647949:0.715052:0.638503:0.715052:0.000000:0.000000 :@0.647949:0.730115:0.651731:0.730115:0.651731:0.715052:0.647949:0.715052:0.000000 ii):@0.638503:0.763846:0.651661:0.763846:0.651661:0.748584:0.638503:0.748584:0.000000:0.000000:0.000000 :@0.651661:0.763648:0.655443:0.763648:0.655443:0.748584:0.651661:0.748584:0.000000 iii):@0.638503:0.804916:0.655372:0.804916:0.655372:0.789655:0.638503:0.789655:0.000000:0.000000:0.000000:0.000000 :@0.655372:0.804718:0.659154:0.804718:0.659154:0.789655:0.655372:0.789655:0.000000 iv):@0.638503:0.853538:0.655319:0.853538:0.655319:0.838277:0.638503:0.838277:0.000000:0.000000:0.000000 ():@0.690704:0.732953:0.721847:0.732953:0.721847:0.708995:0.690704:0.708995:0.000000:0.000000 =:@0.680495:0.729859:0.690833:0.729859:0.690833:0.714079:0.680495:0.714079:0.000000 .:@0.736718:0.729859:0.739353:0.729859:0.739353:0.714079:0.736718:0.714079:0.000000 () =:@0.662639:0.765307:0.709942:0.765307:0.709942:0.749526:0.662639:0.749526:0.000000:0.000000:0.000000:0.000000 .:@0.751386:0.765307:0.754021:0.765307:0.754021:0.749526:0.751386:0.749526:0.000000 =:@0.696986:0.805887:0.707324:0.805887:0.707324:0.790107:0.696986:0.790107:0.000000 .:@0.736716:0.805887:0.739351:0.805887:0.739351:0.790107:0.736716:0.790107:0.000000 Si <:@0.662644:0.855197:0.696532:0.855197:0.696532:0.839417:0.662644:0.839417:0.000000:0.000000:0.000000:0.000000 <:@0.737294:0.855197:0.747632:0.855197:0.747632:0.839417:0.737294:0.839417:0.000000 .:@0.769008:0.855197:0.771643:0.855197:0.771643:0.839417:0.769008:0.839417:0.000000 1:@0.672956:0.712779:0.677666:0.712779:0.677666:0.703633:0.672956:0.703633:0.000000 1:@0.724891:0.713372:0.729601:0.713372:0.729601:0.704226:0.724891:0.704226:0.000000 1:@0.692064:0.748218:0.696774:0.748218:0.696774:0.739073:0.692064:0.739073:0.000000 1:@0.727040:0.748218:0.731750:0.748218:0.731750:0.739073:0.727040:0.739073:0.000000 1:@0.743476:0.748218:0.748186:0.748218:0.748186:0.739073:0.743476:0.739073:0.000000 1:@0.688038:0.782323:0.692748:0.782323:0.692748:0.773178:0.688038:0.773178:0.000000 1:@0.725940:0.780095:0.730650:0.780095:0.730650:0.770949:0.725940:0.770949:0.000000 1:@0.725940:0.808846:0.730650:0.808846:0.730650:0.799700:0.725940:0.799700:0.000000 1:@0.726251:0.838116:0.730961:0.838116:0.730961:0.828971:0.726251:0.828971:0.000000 1:@0.761120:0.838116:0.765830:0.838116:0.765830:0.828971:0.761120:0.828971:0.000000 a:@0.663009:0.729970:0.671596:0.729970:0.671596:0.714217:0.663009:0.714217:0.000000 a:@0.698298:0.729970:0.706885:0.729970:0.706885:0.714217:0.698298:0.714217:0.000000 ab:@0.667984:0.765417:0.685269:0.765417:0.685269:0.749664:0.667984:0.749664:0.000000:0.000000 ab:@0.717094:0.765417:0.741971:0.765417:0.741971:0.749664:0.717094:0.749664:0.000000:0.000000 a:@0.670601:0.797268:0.679188:0.797268:0.679188:0.781516:0.670601:0.781516:0.000000 b:@0.670177:0.816797:0.679041:0.816797:0.679041:0.801044:0.670177:0.801044:0.000000 a:@0.715988:0.797268:0.724576:0.797268:0.724576:0.781516:0.715988:0.781516:0.000000 b:@0.715564:0.826035:0.724428:0.826035:0.724428:0.810283:0.715564:0.810283:0.000000 ab,a:@0.677198:0.855300:0.724889:0.855300:0.724889:0.839548:0.677198:0.839548:0.000000:0.000000:0.000000:0.000000 b:@0.750761:0.855300:0.759625:0.855300:0.759625:0.839548:0.750761:0.839548:0.000000 n:@0.672538:0.724079:0.677728:0.724079:0.677728:0.714950:0.672538:0.714950:0.000000 p np:@0.707610:0.722244:0.732109:0.724672:0.732109:0.715543:0.707610:0.713114:0.000000:0.000000:0.000000:0.000000 n:@0.691643:0.759531:0.696834:0.759531:0.696834:0.750401:0.691643:0.750401:0.000000 n:@0.726619:0.759531:0.731810:0.759531:0.731810:0.750401:0.726619:0.750401:0.000000 n:@0.743055:0.759531:0.748246:0.759531:0.748246:0.750401:0.743055:0.750401:0.000000 n:@0.687617:0.793628:0.692807:0.793628:0.692807:0.784498:0.687617:0.784498:0.000000 n:@0.725519:0.791400:0.730710:0.791400:0.730710:0.782270:0.725519:0.782270:0.000000 n:@0.725519:0.820151:0.730710:0.820151:0.730710:0.811021:0.725519:0.811021:0.000000 n:@0.725830:0.849417:0.731020:0.849417:0.731020:0.840288:0.725830:0.840288:0.000000 n:@0.760699:0.849417:0.765890:0.849417:0.765890:0.840288:0.760699:0.840288:0.000000 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000 maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000 ®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000