Taller:@0.186147:0.075224:0.260568:0.075224:0.260568:0.047184:0.186147:0.047184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluación formativa:@0.123672:0.093685:0.321677:0.093685:0.321677:0.073712:0.123672:0.073712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluación formativa:@0.303782:0.074925:0.552575:0.074925:0.552575:0.050342:0.303782:0.050342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Taller:@0.136183:0.077858:0.213378:0.077858:0.213378:0.047130:0.136183:0.047130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 218:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000 218:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000 I.M.4.3.5.:@0.139073:0.103262:0.184560:0.103262:0.184560:0.092507:0.139073:0.092507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.096359:0.126056:0.115100:0.126056:0.115100:0.108920:0.096359:0.108920:0.000000:0.000000:0.000000 Averigua:@0.124848:0.126056:0.193804:0.126056:0.193804:0.109155:0.124848:0.109155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , sin resolver las ecuaciones, si los pares de :@0.193436:0.126056:0.489771:0.126056:0.489771:0.110386:0.193436:0.110386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 números en cada caso son raíces de la ecuación.:@0.124848:0.142652:0.462572:0.142652:0.462572:0.126982:0.124848:0.126982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124848:0.166371:0.144087:0.166371:0.144087:0.149235:0.124848:0.149235:0.000000:0.000000:0.000000 x:@0.153337:0.166371:0.160801:0.166371:0.160801:0.150010:0.153337:0.150010:0.000000 2:@0.160807:0.160329:0.166050:0.160329:0.166050:0.151193:0.160807:0.151193:0.000000 + – 12 = 0; :@0.166049:0.166376:0.281319:0.166376:0.281319:0.150706:0.166049:0.150706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.185103:0.166376:0.192566:0.166376:0.192566:0.150015:0.185103:0.150015:0.000000 x:@0.337592:0.166376:0.345055:0.166376:0.345055:0.150015:0.337592:0.150015:0.000000 1:@0.345057:0.169540:0.350299:0.169540:0.350299:0.160404:0.345057:0.160404:0.000000 = 3, = –4:@0.350300:0.166376:0.451696:0.166376:0.451696:0.150706:0.350300:0.150706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.401732:0.166376:0.409195:0.166376:0.409195:0.150015:0.401732:0.150015:0.000000 2:@0.409193:0.169540:0.414436:0.169540:0.414436:0.160404:0.409193:0.160404:0.000000 b) :@0.124845:0.190095:0.145226:0.190095:0.145226:0.172959:0.124845:0.172959:0.000000:0.000000:0.000000 x:@0.153334:0.190095:0.160797:0.190095:0.160797:0.173734:0.153334:0.173734:0.000000 2:@0.160807:0.184053:0.166050:0.184053:0.166050:0.174917:0.160807:0.174917:0.000000 – 6 + 5 = 0; :@0.166049:0.190100:0.281319:0.190100:0.281319:0.174430:0.166049:0.174430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.192327:0.190100:0.199790:0.190100:0.199790:0.173739:0.192327:0.173739:0.000000 x:@0.337592:0.190100:0.345055:0.190100:0.345055:0.173739:0.337592:0.173739:0.000000 1 :@0.345057:0.193264:0.352652:0.193264:0.352652:0.184128:0.345057:0.184128:0.000000:0.000000 = 1, =5:@0.352652:0.190100:0.436764:0.190100:0.436764:0.174430:0.352652:0.174430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.400048:0.190100:0.407511:0.190100:0.407511:0.173739:0.400048:0.173739:0.000000 2:@0.407510:0.193264:0.412752:0.193264:0.412752:0.184128:0.407510:0.184128:0.000000 c) :@0.124858:0.213819:0.142678:0.213819:0.142678:0.196683:0.124858:0.196683:0.000000:0.000000:0.000000 2 + 4 – 1 = 0; :@0.153347:0.213819:0.281322:0.213825:0.281322:0.198156:0.153347:0.198149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162340:0.213819:0.169803:0.213819:0.169803:0.197458:0.162340:0.197458:0.000000 2 :@0.169800:0.207778:0.177395:0.207778:0.177395:0.198643:0.169800:0.198643:0.000000:0.000000 x :@0.201407:0.213825:0.212187:0.213825:0.212187:0.197464:0.201407:0.197464:0.000000:0.000000 x:@0.337587:0.213825:0.345050:0.213825:0.345050:0.197464:0.337587:0.197464:0.000000 1 :@0.345057:0.216989:0.352652:0.216989:0.352652:0.207854:0.345057:0.207854:0.000000:0.000000 = 2, = –3:@0.352652:0.213825:0.450014:0.213825:0.450014:0.198156:0.352652:0.198156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.400048:0.213825:0.407511:0.213825:0.407511:0.197464:0.400048:0.197464:0.000000 2:@0.407510:0.216989:0.412752:0.216989:0.412752:0.207854:0.407510:0.207854:0.000000 d) :@0.124858:0.237544:0.145350:0.237544:0.145350:0.220409:0.124858:0.220409:0.000000:0.000000:0.000000 x:@0.153347:0.237544:0.160810:0.237544:0.160810:0.221183:0.153347:0.221183:0.000000 2 :@0.160807:0.231502:0.168403:0.231502:0.168403:0.222367:0.160807:0.222367:0.000000:0.000000 – 6 + 9 = 0; :@0.168403:0.237549:0.281322:0.237549:0.281322:0.221880:0.168403:0.221880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.194680:0.237549:0.202144:0.237549:0.202144:0.221188:0.194680:0.221188:0.000000 x:@0.337587:0.237549:0.345050:0.237549:0.345050:0.221188:0.337587:0.221188:0.000000 1 :@0.345057:0.240713:0.352652:0.240713:0.352652:0.231578:0.345057:0.231578:0.000000:0.000000 = –7, = –1:@0.352652:0.237549:0.451156:0.237549:0.451156:0.221880:0.352652:0.221880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.401191:0.237549:0.408654:0.237549:0.408654:0.221188:0.401191:0.221188:0.000000 2:@0.408654:0.240713:0.413896:0.240713:0.413896:0.231578:0.408654:0.231578:0.000000 e) :@0.124858:0.261268:0.144097:0.261268:0.144097:0.244133:0.124858:0.244133:0.000000:0.000000:0.000000 x:@0.153347:0.261268:0.160810:0.261268:0.160810:0.244907:0.153347:0.244907:0.000000 2 :@0.160807:0.255226:0.168403:0.255226:0.168403:0.246091:0.160807:0.246091:0.000000:0.000000 + 3 + 15 = ; :@0.168403:0.261273:0.281322:0.261273:0.281322:0.245604:0.168403:0.245604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.192414:0.261273:0.199877:0.261273:0.199877:0.244912:0.192414:0.244912:0.000000 x:@0.337587:0.261273:0.345050:0.261273:0.345050:0.244912:0.337587:0.244912:0.000000 1 :@0.345057:0.264437:0.352652:0.264437:0.352652:0.255302:0.345057:0.255302:0.000000:0.000000 = –3, = 3:@0.352652:0.261273:0.441942:0.261273:0.441942:0.245604:0.352652:0.245604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.401191:0.261273:0.408654:0.261273:0.408654:0.244912:0.401191:0.244912:0.000000 2:@0.408654:0.264437:0.413896:0.264437:0.413896:0.255302:0.408654:0.255302:0.000000 f) :@0.124858:0.284992:0.141977:0.284992:0.141977:0.267857:0.124858:0.267857:0.000000:0.000000:0.000000 x:@0.153347:0.284992:0.160810:0.284992:0.160810:0.268631:0.153347:0.268631:0.000000 2 :@0.160807:0.278951:0.168403:0.278951:0.168403:0.269816:0.160807:0.269816:0.000000:0.000000 – 19 + 88 = 0; :@0.168403:0.284999:0.281322:0.284999:0.281322:0.269329:0.168403:0.269329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.199637:0.284999:0.207101:0.284999:0.207101:0.268637:0.199637:0.268637:0.000000 x:@0.337587:0.284999:0.345050:0.284999:0.345050:0.268637:0.337587:0.268637:0.000000 1 :@0.345057:0.288162:0.352652:0.288162:0.352652:0.279027:0.345057:0.279027:0.000000:0.000000 = 8, = 11:@0.352652:0.284999:0.449793:0.284999:0.449793:0.269329:0.352652:0.269329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.400048:0.284999:0.407511:0.284999:0.407511:0.268637:0.400048:0.268637:0.000000 2:@0.407510:0.288162:0.412752:0.288162:0.412752:0.279027:0.407510:0.279027:0.000000 g) :@0.124858:0.308718:0.145147:0.308718:0.145147:0.291582:0.124858:0.291582:0.000000:0.000000:0.000000 3 – 17 + 20 = 0; :@0.153347:0.308718:0.287703:0.308723:0.287703:0.293053:0.153347:0.293048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162340:0.308718:0.169803:0.308718:0.169803:0.292356:0.162340:0.292356:0.000000 2 :@0.169800:0.302675:0.177395:0.302675:0.177395:0.293540:0.169800:0.293540:0.000000:0.000000 x :@0.208630:0.308723:0.219410:0.308723:0.219410:0.292361:0.208630:0.292361:0.000000:0.000000 x:@0.337587:0.308723:0.345050:0.308723:0.345050:0.292361:0.337587:0.292361:0.000000 1 :@0.345057:0.311886:0.352652:0.311886:0.352652:0.302751:0.345057:0.302751:0.000000:0.000000 = –5, = –4:@0.352652:0.308723:0.451156:0.308723:0.451156:0.293053:0.352652:0.293053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.401191:0.308723:0.408654:0.308723:0.408654:0.292361:0.401191:0.292361:0.000000 2:@0.408654:0.311886:0.413896:0.311886:0.413896:0.302751:0.408654:0.302751:0.000000 h) :@0.124858:0.332442:0.145165:0.332442:0.145165:0.315306:0.124858:0.315306:0.000000:0.000000:0.000000 2 – 12 + 13 = 0; :@0.153347:0.332442:0.287703:0.332447:0.287703:0.316777:0.153347:0.316772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162340:0.332442:0.169803:0.332442:0.169803:0.316080:0.162340:0.316080:0.000000 2 :@0.169800:0.326399:0.177395:0.326399:0.177395:0.317264:0.169800:0.317264:0.000000:0.000000 x :@0.208630:0.332447:0.219410:0.332447:0.219410:0.316085:0.208630:0.316085:0.000000:0.000000 x:@0.337587:0.332447:0.345050:0.332447:0.345050:0.316085:0.337587:0.316085:0.000000 1 :@0.345057:0.335610:0.352652:0.335610:0.352652:0.326475:0.345057:0.326475:0.000000:0.000000 = 12, = 4:@0.352652:0.332447:0.441721:0.332447:0.441721:0.316777:0.352652:0.316777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.400969:0.332447:0.408433:0.332447:0.408433:0.316085:0.400969:0.316085:0.000000 2:@0.408431:0.335610:0.413674:0.335610:0.413674:0.326475:0.408431:0.326475:0.000000 i) :@0.124858:0.366926:0.139416:0.366926:0.139416:0.349790:0.124858:0.349790:0.000000:0.000000:0.000000 5 – 6 – 8 = 0; :@0.153347:0.366926:0.281322:0.366929:0.281322:0.351260:0.153347:0.351256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162340:0.366926:0.169803:0.366926:0.169803:0.350564:0.162340:0.350564:0.000000 2 :@0.169800:0.360882:0.177395:0.360882:0.177395:0.351747:0.169800:0.351747:0.000000:0.000000 x :@0.199637:0.366929:0.210418:0.366929:0.210418:0.350568:0.199637:0.350568:0.000000:0.000000 =:@0.356421:0.365650:0.301526:0.365650:0.301526:0.350077:0.356421:0.350077:0.000000 =:@0.421434:0.365650:0.366538:0.365650:0.366538:0.350077:0.421434:0.350077:0.000000 x:@0.337923:0.364972:0.345387:0.364972:0.350183:0.348611:0.342720:0.348611:0.000000 x:@0.400688:0.364972:0.408151:0.364972:0.412947:0.348611:0.405484:0.348611:0.000000 – ,:@0.369875:0.364972:0.398999:0.364967:0.398999:0.349297:0.369875:0.349302:0.000000:0.000000:0.000000 4:@0.383014:0.356411:0.392007:0.356411:0.392007:0.340741:0.383014:0.340741:0.000000 5:@0.383225:0.375934:0.392218:0.375934:0.392218:0.360265:0.383225:0.360265:0.000000 2:@0.434528:0.364967:0.443521:0.364967:0.443521:0.349297:0.434528:0.349297:0.000000 1:@0.347732:0.366976:0.352944:0.366976:0.352944:0.357894:0.347732:0.357894:0.000000 2:@0.411180:0.366976:0.416392:0.366976:0.416392:0.357894:0.411180:0.357894:0.000000 j) :@0.124851:0.398803:0.139723:0.398803:0.139723:0.381668:0.124851:0.381668:0.000000:0.000000:0.000000 4 – 12 + 9 = 0; :@0.153341:0.398803:0.281322:0.398803:0.281322:0.383134:0.153341:0.383134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162333:0.398803:0.169796:0.398803:0.169796:0.382442:0.162333:0.382442:0.000000 2 :@0.169800:0.392756:0.177395:0.392756:0.177395:0.383621:0.169800:0.383621:0.000000:0.000000 x :@0.208630:0.398803:0.219410:0.398803:0.219410:0.382442:0.208630:0.382442:0.000000:0.000000 x:@0.340297:0.399455:0.347760:0.399455:0.352557:0.383093:0.345093:0.383093:0.000000 x:@0.398934:0.399455:0.406397:0.399455:0.411193:0.383093:0.403730:0.383093:0.000000 3:@0.373559:0.390890:0.382552:0.390890:0.382552:0.375220:0.373559:0.375220:0.000000 2:@0.373350:0.410417:0.382342:0.410417:0.382342:0.394747:0.373350:0.394747:0.000000 ,:@0.385390:0.399455:0.388596:0.399455:0.388596:0.383785:0.385390:0.383785:0.000000 3:@0.434444:0.390894:0.443437:0.390894:0.443437:0.375224:0.434444:0.375224:0.000000 2:@0.434235:0.410417:0.443227:0.410417:0.443227:0.394747:0.434235:0.394747:0.000000 1:@0.350106:0.401458:0.355318:0.401458:0.355318:0.392377:0.350106:0.392377:0.000000 2:@0.409421:0.401458:0.414632:0.401458:0.414632:0.392377:0.409421:0.392377:0.000000 =:@0.358795:0.400132:0.308027:0.400132:0.308027:0.384559:0.358795:0.384559:0.000000 =:@0.419680:0.400132:0.368912:0.400132:0.368912:0.384559:0.419680:0.384559:0.000000 5. :@0.514246:0.755506:0.532987:0.755506:0.532987:0.738370:0.514246:0.738370:0.000000:0.000000:0.000000 Resuelve:@0.542735:0.755506:0.613827:0.755506:0.613827:0.738605:0.542735:0.738605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las siguientes situaciones.:@0.613827:0.755506:0.804807:0.755506:0.804807:0.739836:0.613827:0.739836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542735:0.779225:0.561973:0.779225:0.561973:0.762089:0.542735:0.762089:0.000000:0.000000:0.000000 La ecuación 3 ² – 2 + = 0 tiene como :@0.571224:0.779225:0.907639:0.779225:0.907639:0.763555:0.571224:0.763555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.680408:0.779225:0.687871:0.779225:0.687871:0.762864:0.680408:0.762864:0.000000 x:@0.727859:0.779225:0.735322:0.779225:0.735322:0.762864:0.727859:0.762864:0.000000 k:@0.762816:0.779225:0.770390:0.779225:0.770390:0.762864:0.762816:0.762864:0.000000 primera raíz –4. :@0.571224:0.795821:0.686728:0.795821:0.686728:0.780151:0.571224:0.780151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Halla:@0.686471:0.795821:0.727048:0.795821:0.727048:0.778921:0.686471:0.778921:0.000000:0.000000:0.000000:0.000000:0.000000 la otra raíz y :@0.727048:0.795821:0.820955:0.795821:0.820955:0.780151:0.727048:0.780151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 determina:@0.820697:0.795821:0.903585:0.795821:0.903585:0.778921:0.820697:0.778921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.903585:0.795821:0.907621:0.795821:0.907621:0.780151:0.903585:0.780151:0.000000 el valor de .:@0.571224:0.812418:0.661759:0.812418:0.661759:0.796748:0.571224:0.796748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.650979:0.812418:0.658553:0.812418:0.658553:0.796056:0.650979:0.796056:0.000000 b) :@0.542735:0.859869:0.563116:0.859869:0.563116:0.842734:0.542735:0.842734:0.000000:0.000000:0.000000 Determina:@0.571224:0.859869:0.655991:0.859869:0.655991:0.842969:0.571224:0.842969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el valor de k en la ecuación :@0.655991:0.859869:0.907676:0.859869:0.907676:0.844200:0.655991:0.844200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 9 ² + + 1 = 0, para que las raíces sean igua-:@0.571224:0.876466:0.903567:0.876466:0.903567:0.860796:0.571224:0.860796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.580217:0.876466:0.587680:0.876466:0.587680:0.860105:0.580217:0.860105:0.000000 kx:@0.611931:0.876466:0.626968:0.876466:0.626968:0.860105:0.611931:0.860105:0.000000:0.000000 les y opuestas.:@0.571224:0.893062:0.676628:0.893062:0.676628:0.877392:0.571224:0.877392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. :@0.514246:0.361951:0.532987:0.361951:0.532987:0.344815:0.514246:0.344815:0.000000:0.000000:0.000000 Halla:@0.542735:0.361951:0.583313:0.361951:0.583313:0.345050:0.542735:0.345050:0.000000:0.000000:0.000000:0.000000:0.000000 los números cuya suma S y producto P se :@0.583313:0.361951:0.907674:0.361951:0.907674:0.346281:0.583313:0.346281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dan a continuación. :@0.542735:0.378547:0.691907:0.378547:0.691907:0.362877:0.542735:0.362877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Observa:@0.691907:0.378547:0.758430:0.378547:0.758430:0.361646:0.691907:0.361646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el ejemplo.:@0.758430:0.378547:0.843010:0.378547:0.843010:0.362877:0.758430:0.362877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo: = 4, = –60.:@0.542735:0.402266:0.712011:0.402266:0.712011:0.386596:0.542735:0.386596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.610420:0.402266:0.618491:0.402266:0.618491:0.385905:0.610420:0.385905:0.000000 P:@0.653780:0.402266:0.662551:0.402266:0.662551:0.385905:0.653780:0.385905:0.000000 Formamos la ecuación de segundo grado: :@0.542735:0.425985:0.855762:0.425985:0.855762:0.410315:0.542735:0.410315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514246:0.449704:0.518281:0.449704:0.518281:0.434034:0.514246:0.434034:0.000000 x:@0.542735:0.449704:0.550198:0.449704:0.550198:0.433343:0.542735:0.433343:0.000000 ² – 4 – 60 = 0:@0.550198:0.449704:0.652527:0.449704:0.652527:0.434034:0.550198:0.434034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.581746:0.449704:0.589209:0.449704:0.589209:0.433343:0.581746:0.433343:0.000000 Buscamos la solución::@0.542735:0.473423:0.702724:0.473423:0.702724:0.457753:0.542735:0.457753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( – 10)( + 6) = 0 :@0.542735:0.497142:0.672595:0.497142:0.672595:0.481472:0.542735:0.481472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.547618:0.497142:0.555081:0.497142:0.555081:0.480781:0.547618:0.480781:0.000000 x:@0.600119:0.497142:0.607582:0.497142:0.607582:0.480781:0.600119:0.480781:0.000000 :@0.514246:0.520861:0.518281:0.520861:0.518281:0.505191:0.514246:0.505191:0.000000 x:@0.542735:0.520861:0.550198:0.520861:0.550198:0.504500:0.542735:0.504500:0.000000 1:@0.550201:0.524058:0.555444:0.524058:0.555444:0.514923:0.550201:0.514923:0.000000 = 10; = –6; estos son los números buscados.:@0.555443:0.520895:0.892967:0.520895:0.892967:0.505225:0.555443:0.505225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.595689:0.520895:0.603152:0.520895:0.603152:0.504534:0.595689:0.504534:0.000000 2:@0.603152:0.524058:0.608395:0.524058:0.608395:0.514923:0.603152:0.514923:0.000000 La suma es 4 y el producto –60.:@0.542737:0.544614:0.772710:0.544614:0.772710:0.528944:0.542737:0.528944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542737:0.578097:0.561975:0.578097:0.561975:0.560961:0.542737:0.560961:0.000000:0.000000:0.000000 S:@0.573201:0.577145:0.581272:0.577145:0.586068:0.560784:0.577997:0.560784:0.000000 P:@0.626807:0.577145:0.635578:0.577145:0.640374:0.560784:0.631603:0.560784:0.000000 15:@0.602588:0.568579:0.620371:0.568579:0.620371:0.552909:0.602588:0.552909:0.000000:0.000000 2:@0.607352:0.588108:0.616345:0.588108:0.616345:0.572438:0.607352:0.572438:0.000000 ,:@0.623006:0.577145:0.626212:0.577145:0.626212:0.561475:0.623006:0.561475:0.000000 7:@0.657392:0.568584:0.666384:0.568584:0.666384:0.552914:0.657392:0.552914:0.000000 2:@0.657767:0.588108:0.666760:0.588108:0.666760:0.572438:0.657767:0.572438:0.000000 =:@0.589179:0.577818:0.545266:0.577818:0.545266:0.562245:0.589179:0.562245:0.000000 =:@0.643209:0.577818:0.599296:0.577818:0.599296:0.562245:0.643209:0.562245:0.000000 :@0.542738:0.601825:0.546461:0.601825:0.546461:0.584689:0.542738:0.584689:0.000000 b) :@0.542738:0.625544:0.563119:0.625544:0.563119:0.608408:0.542738:0.608408:0.000000:0.000000:0.000000 S:@0.571227:0.625544:0.579299:0.625544:0.579299:0.609182:0.571227:0.609182:0.000000 = 18, = 72:@0.579299:0.625544:0.669393:0.625549:0.669393:0.609879:0.579299:0.609874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.622770:0.625549:0.631541:0.625549:0.635385:0.609187:0.626614:0.609187:0.000000 :@0.542740:0.649268:0.546462:0.649268:0.546462:0.632132:0.542740:0.632132:0.000000 c) :@0.542740:0.672987:0.560559:0.672987:0.560559:0.655851:0.542740:0.655851:0.000000:0.000000:0.000000 S:@0.571229:0.672987:0.579300:0.672987:0.579300:0.656625:0.571229:0.656625:0.000000 = –12, = –45:@0.579300:0.672987:0.687821:0.672997:0.687821:0.657327:0.579300:0.657317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.631984:0.672997:0.640755:0.672997:0.644599:0.656636:0.635827:0.656636:0.000000 :@0.542740:0.696716:0.546462:0.696716:0.546462:0.679580:0.542740:0.679580:0.000000 d) :@0.542740:0.720435:0.563232:0.720435:0.563232:0.703299:0.542740:0.703299:0.000000:0.000000:0.000000 S:@0.571229:0.720435:0.579300:0.720435:0.579300:0.704073:0.571229:0.704073:0.000000 = 20, = –18:@0.579300:0.720435:0.678607:0.720446:0.678607:0.704776:0.579300:0.704765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.622770:0.720446:0.631541:0.720446:0.635385:0.704085:0.626614:0.704085:0.000000 2.:@0.096367:0.435265:0.111386:0.435265:0.111386:0.418129:0.096367:0.418129:0.000000:0.000000 :@0.111386:0.435265:0.115422:0.435265:0.115422:0.419595:0.111386:0.419595:0.000000 Construye escribe:@0.124856:0.435265:0.284200:0.435265:0.284200:0.418364:0.124856:0.418364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.208499:0.435265:0.225232:0.435265:0.225232:0.419595:0.208499:0.419595:0.000000:0.000000:0.000000 en tu cuaderno las :@0.284477:0.435265:0.433648:0.435265:0.433648:0.419595:0.284477:0.419595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ecuaciones de segundo grado dadas sus raíces :@0.124856:0.451861:0.472638:0.451861:0.472638:0.436192:0.124856:0.436192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en cada literal.:@0.124856:0.468458:0.229708:0.468458:0.229708:0.452788:0.124856:0.452788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124856:0.492177:0.144095:0.492177:0.144095:0.475041:0.124856:0.475041:0.000000:0.000000:0.000000 x:@0.153346:0.492357:0.160496:0.492357:0.160496:0.476604:0.153346:0.476604:0.000000 1:@0.160494:0.495344:0.165736:0.495344:0.165736:0.486209:0.160494:0.486209:0.000000 = 2 y = 4:@0.165736:0.492181:0.258472:0.492181:0.258472:0.476511:0.165736:0.476511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.218033:0.492360:0.225183:0.492360:0.225183:0.476608:0.218033:0.476608:0.000000 2:@0.225182:0.495344:0.230424:0.495344:0.230424:0.486209:0.225182:0.486209:0.000000 b) :@0.124853:0.539632:0.145234:0.539632:0.145234:0.522497:0.124853:0.522497:0.000000:0.000000:0.000000 x:@0.153342:0.539812:0.160492:0.539812:0.160492:0.524059:0.153342:0.524059:0.000000 1:@0.160494:0.542793:0.165736:0.542793:0.165736:0.533658:0.160494:0.533658:0.000000 = 3 y = –4:@0.165736:0.539630:0.267686:0.539630:0.267686:0.523960:0.165736:0.523960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.218033:0.539810:0.225183:0.539810:0.225183:0.524057:0.218033:0.524057:0.000000 2:@0.225182:0.542793:0.230424:0.542793:0.230424:0.533658:0.225182:0.533658:0.000000 c) :@0.124853:0.587082:0.142673:0.587082:0.142673:0.569946:0.124853:0.569946:0.000000:0.000000:0.000000 x:@0.153342:0.587261:0.160492:0.587261:0.160492:0.571509:0.153342:0.571509:0.000000 1:@0.160494:0.590243:0.165736:0.590243:0.165736:0.581107:0.160494:0.581107:0.000000 = 0 y = 5:@0.165736:0.587079:0.258472:0.587079:0.258472:0.571409:0.165736:0.571409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.218033:0.587259:0.225183:0.587259:0.225183:0.571506:0.218033:0.571506:0.000000 2:@0.225182:0.590243:0.230424:0.590243:0.230424:0.581107:0.225182:0.581107:0.000000 d) :@0.124853:0.634531:0.145345:0.634531:0.145345:0.617395:0.124853:0.617395:0.000000:0.000000:0.000000 x:@0.153342:0.634711:0.160492:0.634711:0.160492:0.618958:0.153342:0.618958:0.000000 1:@0.160494:0.637691:0.165736:0.637691:0.165736:0.628555:0.160494:0.628555:0.000000 = –3 y = 5:@0.165736:0.634527:0.267686:0.634527:0.267686:0.618857:0.165736:0.618857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.227247:0.634707:0.234397:0.634707:0.234397:0.618954:0.227247:0.618954:0.000000 2:@0.234395:0.637691:0.239638:0.637691:0.239638:0.628555:0.234395:0.628555:0.000000 e) :@0.124853:0.681979:0.144092:0.681979:0.144092:0.664843:0.124853:0.664843:0.000000:0.000000:0.000000 x:@0.153342:0.682159:0.160492:0.682159:0.160492:0.666406:0.153342:0.666406:0.000000 1:@0.160494:0.685140:0.165736:0.685140:0.165736:0.676005:0.160494:0.676005:0.000000 = 8 y = –6:@0.165736:0.681976:0.267686:0.681976:0.267686:0.666307:0.165736:0.666307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.218033:0.682156:0.225183:0.682156:0.225183:0.666403:0.218033:0.666403:0.000000 2:@0.225182:0.685140:0.230424:0.685140:0.230424:0.676005:0.225182:0.676005:0.000000 f) :@0.124853:0.729428:0.141972:0.729428:0.141972:0.712292:0.124853:0.712292:0.000000:0.000000:0.000000 x:@0.153342:0.729608:0.160492:0.729608:0.160492:0.713855:0.153342:0.713855:0.000000 1:@0.160494:0.732588:0.165736:0.732588:0.165736:0.723453:0.160494:0.723453:0.000000 = 10 y = 12:@0.165736:0.729424:0.276457:0.729424:0.276457:0.713755:0.165736:0.713755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.227026:0.729604:0.234176:0.729604:0.234176:0.713851:0.227026:0.713851:0.000000 2:@0.234174:0.732588:0.239417:0.732588:0.239417:0.723453:0.234174:0.723453:0.000000 g) :@0.124853:0.776876:0.145142:0.776876:0.145142:0.759740:0.124853:0.759740:0.000000:0.000000:0.000000 x:@0.153342:0.777056:0.160492:0.777056:0.160492:0.761303:0.153342:0.761303:0.000000 1:@0.160494:0.780037:0.165736:0.780037:0.165736:0.770902:0.160494:0.770902:0.000000 = –15 y = –20:@0.165736:0.776874:0.294885:0.776874:0.294885:0.761204:0.165736:0.761204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.236240:0.777054:0.243390:0.777054:0.243390:0.761301:0.236240:0.761301:0.000000 2:@0.243388:0.780037:0.248631:0.780037:0.248631:0.770902:0.243388:0.770902:0.000000 h) :@0.124853:0.824326:0.145160:0.824326:0.145160:0.807190:0.124853:0.807190:0.000000:0.000000:0.000000 x:@0.153342:0.824505:0.160492:0.824505:0.160492:0.808753:0.153342:0.808753:0.000000 1:@0.160494:0.827487:0.165736:0.827487:0.165736:0.818351:0.160494:0.818351:0.000000 = – y = + :@0.165736:0.824323:0.314087:0.824323:0.314087:0.808653:0.165736:0.808653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m n:@0.184790:0.824503:0.225183:0.824503:0.225183:0.808750:0.184790:0.808750:0.000000:0.000000:0.000000 x:@0.249434:0.824503:0.256584:0.824503:0.256584:0.808750:0.249434:0.808750:0.000000 2:@0.256582:0.827487:0.261825:0.827487:0.261825:0.818351:0.256582:0.818351:0.000000 m:@0.280880:0.824503:0.295032:0.824503:0.295032:0.808750:0.280880:0.808750:0.000000 n:@0.314087:0.824503:0.323042:0.824503:0.323042:0.808750:0.314087:0.808750:0.000000 i) :@0.124853:0.873033:0.139411:0.873033:0.139411:0.855898:0.124853:0.855898:0.000000:0.000000:0.000000 =:@0.173775:0.874963:0.183978:0.874963:0.183978:0.859390:0.173775:0.859390:0.000000 +:@0.219974:0.874963:0.230177:0.874963:0.230177:0.859390:0.219974:0.859390:0.000000 −:@0.306129:0.874963:0.316331:0.874963:0.316331:0.859390:0.306129:0.859390:0.000000 x:@0.157459:0.874286:0.164985:0.874286:0.164985:0.857924:0.157459:0.857924:0.000000 32 4y x=43 2:@0.186970:0.874286:0.348295:0.874286:0.348295:0.858616:0.186970:0.858616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.165012:0.876289:0.170268:0.876289:0.170268:0.867208:0.165012:0.867208:0.000000 2:@0.275406:0.876289:0.280661:0.876289:0.280661:0.867208:0.275406:0.867208:0.000000 j) :@0.124851:0.928025:0.139723:0.928025:0.139723:0.910889:0.124851:0.910889:0.000000:0.000000:0.000000 =:@0.174546:0.929956:0.114619:0.929956:0.114619:0.914383:0.174546:0.914383:0.000000 =:@0.244589:0.929956:0.184663:0.929956:0.184663:0.914383:0.244589:0.914383:0.000000 x:@0.156048:0.929278:0.163511:0.929278:0.168307:0.912917:0.160844:0.912917:0.000000 y x:@0.207350:0.929278:0.231306:0.929278:0.236102:0.912917:0.212146:0.912917:0.000000:0.000000:0.000000 1:@0.189675:0.920713:0.198668:0.920713:0.198668:0.905043:0.189675:0.905043:0.000000 5:@0.189100:0.940240:0.198093:0.940240:0.198093:0.924571:0.189100:0.924571:0.000000 –:@0.258046:0.929278:0.267260:0.929278:0.267260:0.913609:0.258046:0.913609:0.000000 2:@0.270448:0.920717:0.279441:0.920717:0.279441:0.905048:0.270448:0.905048:0.000000 5:@0.270663:0.940240:0.279655:0.940240:0.279655:0.924571:0.270663:0.924571:0.000000 1:@0.165856:0.931282:0.171068:0.931282:0.171068:0.922201:0.165856:0.922201:0.000000 2:@0.234334:0.931282:0.239546:0.931282:0.239546:0.922201:0.234334:0.922201:0.000000 3.:@0.514246:0.126471:0.529264:0.126471:0.529264:0.109335:0.514246:0.109335:0.000000:0.000000 :@0.529264:0.126471:0.533300:0.126471:0.533300:0.110801:0.529264:0.110801:0.000000 Determina:@0.542735:0.126471:0.627502:0.126471:0.627502:0.109570:0.542735:0.109570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el valor de en las ecuaciones para :@0.627502:0.126471:0.907713:0.126471:0.907713:0.110801:0.627502:0.110801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.718885:0.126650:0.726772:0.126650:0.726772:0.110898:0.718885:0.110898:0.000000 que cada una tenga dos soluciones iguales.:@0.542735:0.143067:0.860827:0.143067:0.860827:0.127397:0.542735:0.127397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542735:0.168045:0.561973:0.168045:0.561973:0.150909:0.542735:0.150909:0.000000:0.000000:0.000000 x:@0.584475:0.168048:0.591938:0.168048:0.591938:0.151687:0.584475:0.151687:0.000000 kx:@0.614217:0.168048:0.628960:0.168048:0.628960:0.151687:0.614217:0.151687:0.000000:0.000000 9:@0.573861:0.168048:0.582854:0.168048:0.582854:0.152379:0.573861:0.152379:0.000000 4 0:@0.644531:0.168048:0.679285:0.168048:0.679285:0.152379:0.644531:0.152379:0.000000:0.000000:0.000000 2:@0.593583:0.160387:0.598795:0.160387:0.598795:0.151306:0.593583:0.151306:0.000000 +:@0.602275:0.168726:0.612391:0.168726:0.612391:0.153153:0.602275:0.153153:0.000000 + =:@0.631851:0.168726:0.667306:0.168726:0.667306:0.153153:0.631851:0.153153:0.000000:0.000000:0.000000 b) :@0.542738:0.216502:0.563119:0.216502:0.563119:0.199366:0.542738:0.199366:0.000000:0.000000:0.000000 x:@0.575841:0.218079:0.584267:0.218079:0.584267:0.200549:0.575841:0.200549:0.000000 x k:@0.620531:0.218079:0.654257:0.218079:0.654257:0.200549:0.620531:0.200549:0.000000:0.000000:0.000000 5:@0.609421:0.218079:0.619574:0.218079:0.619574:0.201290:0.609421:0.201290:0.000000 0:@0.673960:0.218079:0.684113:0.218079:0.684113:0.201290:0.673960:0.201290:0.000000 2:@0.586125:0.209871:0.592009:0.209871:0.592009:0.200141:0.586125:0.200141:0.000000 +:@0.595937:0.218805:0.607359:0.218805:0.607359:0.202120:0.595937:0.202120:0.000000 + =:@0.632222:0.218805:0.670608:0.218805:0.670608:0.202120:0.632222:0.202120:0.000000:0.000000:0.000000 c) :@0.542738:0.265209:0.560558:0.265209:0.560558:0.248073:0.542738:0.248073:0.000000:0.000000:0.000000 x:@0.575313:0.265209:0.582777:0.265209:0.582777:0.248848:0.575313:0.248848:0.000000 x k:@0.616462:0.265209:0.646333:0.265209:0.646333:0.248848:0.616462:0.248848:0.000000:0.000000:0.000000 6:@0.605829:0.265209:0.614822:0.265209:0.614822:0.249539:0.605829:0.249539:0.000000 0:@0.663784:0.265209:0.672777:0.265209:0.672777:0.249539:0.663784:0.249539:0.000000 2:@0.584423:0.257547:0.589635:0.257547:0.589635:0.248465:0.584423:0.248465:0.000000 −:@0.593532:0.265886:0.603648:0.265886:0.603648:0.250314:0.593532:0.250314:0.000000 + =:@0.626830:0.265886:0.660811:0.265886:0.660811:0.250314:0.626830:0.250314:0.000000:0.000000:0.000000 d) :@0.542738:0.313914:0.563230:0.313914:0.563230:0.296778:0.542738:0.296778:0.000000:0.000000:0.000000 kx:@0.573847:0.313914:0.588590:0.313914:0.588590:0.297553:0.573847:0.297553:0.000000:0.000000 x:@0.623012:0.313914:0.630476:0.313914:0.630476:0.297553:0.623012:0.297553:0.000000 4:@0.612011:0.313914:0.621004:0.313914:0.621004:0.298244:0.612011:0.298244:0.000000 1 0:@0.644149:0.313914:0.675457:0.313914:0.675457:0.298244:0.644149:0.298244:0.000000:0.000000:0.000000 2:@0.590233:0.306253:0.595445:0.306253:0.595445:0.297172:0.590233:0.297172:0.000000 −:@0.599343:0.314592:0.609460:0.314592:0.609460:0.299019:0.599343:0.299019:0.000000 + =:@0.633379:0.314592:0.663490:0.314592:0.663490:0.299019:0.633379:0.299019:0.000000:0.000000:0.000000 x:@0.574792:0.643521:0.579542:0.643521:0.579542:0.633109:0.574792:0.633109:0.000000 1:@0.579542:0.645534:0.582878:0.645534:0.582878:0.639720:0.579542:0.639720:0.000000 = 12; = 6:@0.582877:0.643521:0.634421:0.643521:0.634421:0.633549:0.582877:0.633549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.608488:0.643521:0.613237:0.643521:0.613237:0.633109:0.608488:0.633109:0.000000 2:@0.613237:0.645534:0.616574:0.645534:0.616574:0.639720:0.613237:0.639720:0.000000 x:@0.574791:0.694470:0.579540:0.694470:0.579540:0.684058:0.574791:0.684058:0.000000 1:@0.579542:0.696478:0.582878:0.696478:0.582878:0.690665:0.579542:0.690665:0.000000 = 3; = –15:@0.582877:0.694465:0.640284:0.694465:0.640284:0.684494:0.582877:0.684494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.602765:0.694465:0.607515:0.694465:0.607515:0.684053:0.602765:0.684053:0.000000 2:@0.607515:0.696478:0.610851:0.696478:0.610851:0.690665:0.607515:0.690665:0.000000 x:@0.574791:0.734044:0.579540:0.734044:0.579540:0.723632:0.574791:0.723632:0.000000 1:@0.579542:0.736057:0.582878:0.736057:0.582878:0.730244:0.579542:0.730244:0.000000 = 20,86; = –0,86:@0.582877:0.734044:0.667256:0.734044:0.667256:0.724072:0.582877:0.724072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.621974:0.734044:0.626723:0.734044:0.626723:0.723632:0.621974:0.723632:0.000000 2:@0.626723:0.736057:0.630059:0.736057:0.630059:0.730244:0.626723:0.730244:0.000000 x:@0.574791:0.600883:0.579540:0.600883:0.579540:0.590471:0.574791:0.590471:0.000000 = 1/2; = 7:@0.579540:0.600883:0.634433:0.600883:0.634433:0.590911:0.579540:0.590911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.611835:0.600883:0.616585:0.600883:0.616585:0.590471:0.611835:0.590471:0.000000 Sí:@0.459670:0.166540:0.467562:0.166540:0.467562:0.156568:0.459670:0.156568:0.000000:0.000000 Sí:@0.459670:0.188041:0.467562:0.188041:0.467562:0.178069:0.459670:0.178069:0.000000:0.000000 No:@0.456750:0.212059:0.470470:0.212059:0.470470:0.202087:0.456750:0.202087:0.000000:0.000000 Sí:@0.459670:0.283744:0.467562:0.283744:0.467562:0.273772:0.459670:0.273772:0.000000:0.000000 Sí:@0.459670:0.397560:0.467562:0.397560:0.467562:0.387588:0.459670:0.387588:0.000000:0.000000 Sí:@0.459670:0.362461:0.467562:0.362461:0.467562:0.352489:0.459670:0.352489:0.000000:0.000000 No:@0.456750:0.237327:0.470470:0.237327:0.470470:0.227355:0.456750:0.227355:0.000000:0.000000 No:@0.456750:0.260474:0.470470:0.260474:0.470470:0.250502:0.456750:0.250502:0.000000:0.000000 No:@0.456750:0.307692:0.470470:0.307692:0.470470:0.297720:0.456750:0.297720:0.000000:0.000000 No:@0.456750:0.330812:0.470470:0.330812:0.470470:0.320841:0.456750:0.320841:0.000000:0.000000 x :@0.155714:0.509096:0.162574:0.509096:0.162574:0.498685:0.155714:0.498685:0.000000:0.000000 2 – 6 + 8 = 0:@0.162574:0.509096:0.223096:0.509096:0.223096:0.499125:0.162574:0.499125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.182651:0.509096:0.187400:0.509096:0.187400:0.498685:0.182651:0.498685:0.000000 x :@0.155714:0.657219:0.162574:0.657219:0.162574:0.646807:0.155714:0.646807:0.000000:0.000000 2 – 2 – 15 = 0:@0.162574:0.657219:0.227693:0.657219:0.227693:0.647247:0.162574:0.647247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.182651:0.657219:0.187400:0.657219:0.187400:0.646807:0.182651:0.646807:0.000000 x :@0.155714:0.698364:0.162574:0.698364:0.162574:0.687952:0.155714:0.687952:0.000000:0.000000 2 – 2 – 48 = 0:@0.162574:0.698364:0.227693:0.698364:0.227693:0.688392:0.162574:0.688392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.182651:0.698364:0.187400:0.698364:0.187400:0.687952:0.182651:0.687952:0.000000 x :@0.155714:0.745864:0.162574:0.745864:0.162574:0.735452:0.155714:0.735452:0.000000:0.000000 2 – 22 + 120 = 0:@0.162574:0.745864:0.240264:0.745864:0.240264:0.735892:0.162574:0.735892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.188373:0.745864:0.193122:0.745864:0.193122:0.735452:0.188373:0.735452:0.000000 x :@0.155714:0.792017:0.162574:0.792017:0.162574:0.781605:0.155714:0.781605:0.000000:0.000000 2 + 35 + 300 = 0:@0.162574:0.792017:0.241389:0.792017:0.241389:0.782045:0.162574:0.782045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.189499:0.792017:0.194248:0.792017:0.194248:0.781605:0.189499:0.781605:0.000000 x :@0.155714:0.841083:0.162574:0.841083:0.162574:0.830671:0.155714:0.830671:0.000000:0.000000 2 – 2:@0.162574:0.841083:0.182651:0.841083:0.182651:0.831111:0.162574:0.831111:0.000000:0.000000:0.000000:0.000000:0.000000 mx:@0.182651:0.841083:0.196711:0.841083:0.196711:0.830671:0.182651:0.830671:0.000000:0.000000 + 2 – 2 = 0:@0.196711:0.841083:0.259753:0.841083:0.259753:0.831111:0.196711:0.831111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.208836:0.841083:0.218147:0.841083:0.218147:0.830671:0.208836:0.830671:0.000000 n:@0.232501:0.841083:0.238552:0.841083:0.238552:0.830671:0.232501:0.830671:0.000000 x :@0.155714:0.554387:0.162574:0.554387:0.162574:0.543975:0.155714:0.543975:0.000000:0.000000 2 + – 12 = 0:@0.162574:0.554387:0.223096:0.554387:0.223096:0.544415:0.162574:0.544415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.178054:0.554387:0.182803:0.554387:0.182803:0.543975:0.178054:0.543975:0.000000 x:@0.573114:0.907038:0.577863:0.907038:0.577863:0.896627:0.573114:0.896627:0.000000 1:@0.577866:0.909068:0.581203:0.909068:0.581203:0.903254:0.577866:0.903254:0.000000 = −9 ; = 9:@0.581202:0.907055:0.639148:0.907055:0.639148:0.897083:0.581202:0.897083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.613216:0.907055:0.617965:0.907055:0.617965:0.896643:0.613216:0.896643:0.000000 2:@0.617965:0.909068:0.621301:0.909068:0.621301:0.903254:0.617965:0.903254:0.000000 k:@0.573115:0.920679:0.577935:0.920679:0.577935:0.910267:0.573115:0.910267:0.000000 = 6:@0.577935:0.920679:0.593215:0.920679:0.593215:0.910707:0.577935:0.910707:0.000000:0.000000:0.000000 x:@0.573115:0.826014:0.577865:0.826014:0.577865:0.815602:0.573115:0.815602:0.000000 2:@0.577866:0.828024:0.581203:0.828024:0.581203:0.822210:0.577866:0.822210:0.000000 = 6; = –24:@0.581202:0.826010:0.634887:0.826010:0.634887:0.816039:0.581202:0.816039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k :@0.601090:0.826010:0.608021:0.826010:0.608021:0.815599:0.601090:0.815599:0.000000:0.000000 x:@0.155723:0.605807:0.160472:0.605807:0.160472:0.595395:0.155723:0.595395:0.000000 2 + 5 = 0:@0.160472:0.605807:0.204271:0.605807:0.204271:0.595835:0.160472:0.595835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.181674:0.605807:0.186423:0.605807:0.186423:0.595395:0.181674:0.595395:0.000000 K = –2:@0.573615:0.188044:0.603166:0.188044:0.603166:0.178073:0.573615:0.178073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.155723:0.892793:0.162583:0.892793:0.162583:0.882381:0.155723:0.882381:0.000000:0.000000 2 – 8 – 2 = 0:@0.162583:0.892793:0.221521:0.892793:0.221521:0.882821:0.162583:0.882821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.182659:0.892793:0.189519:0.892793:0.189519:0.882381:0.182659:0.882381:0.000000:0.000000 K = 9:@0.573615:0.283642:0.597303:0.283642:0.597303:0.273670:0.573615:0.273670:0.000000:0.000000:0.000000:0.000000:0.000000 K = 4:@0.573615:0.326116:0.597303:0.326116:0.597303:0.316145:0.573615:0.316145:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.585541:0.239119:0.591611:0.239119:0.591611:0.229775:0.585541:0.229775:0.000000 K:@0.574568:0.238712:0.579753:0.238712:0.582631:0.228896:0.577445:0.228896:0.000000 25:@0.594274:0.233574:0.604943:0.233574:0.604943:0.224172:0.594274:0.224172:0.000000:0.000000 4:@0.596787:0.245291:0.602182:0.245291:0.602182:0.235889:0.596787:0.235889:0.000000 +:@0.172157:0.952144:0.178595:0.952144:0.178595:0.942234:0.172157:0.942234:0.000000 =:@0.219216:0.952144:0.225654:0.952144:0.225654:0.942234:0.219216:0.942234:0.000000 x:@0.158633:0.951713:0.163382:0.951713:0.166434:0.941301:0.161685:0.941301:0.000000 x:@0.187797:0.951713:0.192546:0.951713:0.195598:0.941301:0.190849:0.941301:0.000000 1:@0.181108:0.946369:0.186830:0.946369:0.186830:0.936398:0.181108:0.936398:0.000000 5:@0.180744:0.958664:0.186467:0.958664:0.186467:0.948693:0.180744:0.948693:0.000000 –:@0.197126:0.951711:0.202990:0.951711:0.202990:0.941740:0.197126:0.941740:0.000000 2:@0.208114:0.946369:0.213837:0.946369:0.213837:0.936398:0.208114:0.936398:0.000000 25:@0.205441:0.958664:0.216768:0.958664:0.216768:0.948693:0.205441:0.948693:0.000000:0.000000 0:@0.227475:0.951711:0.233198:0.951711:0.233198:0.941740:0.227475:0.941740:0.000000 2:@0.166503:0.946850:0.169798:0.946850:0.169798:0.941108:0.166503:0.941108:0.000000