42:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000 Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000 Actividad resuelta:@0.115209:0.538828:0.272331:0.538828:0.272331:0.520391:0.115209:0.520391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.115209:0.558674:0.133931:0.558674:0.133931:0.541774:0.115209:0.541774:0.000000:0.000000:0.000000 Resolvamos:@0.148452:0.558674:0.239890:0.558674:0.239890:0.542050:0.148452:0.542050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la siguiente ecuación.:@0.239890:0.558674:0.402256:0.558674:0.402256:0.542285:0.239890:0.542285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.115209:0.585118:0.147494:0.585118:0.147494:0.568729:0.115209:0.568729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.271618:0.582027:0.281734:0.582027:0.281734:0.566454:0.271618:0.566454:0.000000 4–3–:@0.163355:0.581350:0.219043:0.581350:0.219043:0.564961:0.163355:0.564961:0.000000:0.000000:0.000000:0.000000 –2:@0.246906:0.581350:0.267619:0.581350:0.267619:0.564961:0.246906:0.564961:0.000000:0.000000 3–5:@0.296790:0.581350:0.338713:0.581350:0.338713:0.564961:0.296790:0.564961:0.000000:0.000000:0.000000 x:@0.174338:0.581350:0.181801:0.581350:0.181801:0.564988:0.174338:0.564988:0.000000 x:@0.235536:0.581350:0.242999:0.581350:0.242999:0.564988:0.235536:0.564988:0.000000 x:@0.306630:0.581350:0.314093:0.581350:0.314093:0.564988:0.306630:0.564988:0.000000 :@0.115209:0.608845:0.147494:0.608845:0.147494:0.592457:0.115209:0.592457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Seguimos:@0.147494:0.608845:0.223473:0.608845:0.223473:0.592221:0.147494:0.592221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el proceso.:@0.223473:0.608845:0.306304:0.608845:0.306304:0.592457:0.223473:0.592457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.115209:0.632564:0.147494:0.632564:0.147494:0.616176:0.115209:0.616176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Elevamos:@0.147494:0.632564:0.220597:0.632564:0.220597:0.615940:0.147494:0.615940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 al cuadrado los dos miembros :@0.220597:0.632564:0.453481:0.632564:0.453481:0.616176:0.220597:0.616176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.477063:0.632564:0.481099:0.632564:0.481099:0.616176:0.477063:0.616176:0.000000 de la igualdad y :@0.115209:0.649161:0.267329:0.649161:0.267329:0.632772:0.115209:0.632772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resolvemos:@0.267329:0.649161:0.354860:0.649161:0.354860:0.632537:0.267329:0.632537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.354860:0.649161:0.358067:0.649161:0.358067:0.632772:0.354860:0.632772:0.000000 :@0.115209:0.748324:0.147494:0.748324:0.147494:0.731935:0.115209:0.731935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.150111:0.745136:0.156247:0.745136:0.156247:0.713212:0.150111:0.713212:0.000000 ):@0.260419:0.745136:0.266555:0.745136:0.266555:0.713212:0.260419:0.713212:0.000000 (:@0.150111:0.685787:0.156247:0.685787:0.156247:0.658378:0.150111:0.658378:0.000000 ) (:@0.275695:0.685787:0.310579:0.685787:0.310579:0.658378:0.275695:0.658378:0.000000:0.000000:0.000000 ):@0.366525:0.685787:0.372661:0.685787:0.372661:0.658378:0.366525:0.658378:0.000000 =:@0.291774:0.679619:0.301891:0.679619:0.301891:0.664046:0.291774:0.664046:0.000000 +:@0.322659:0.707515:0.332775:0.707515:0.332775:0.691942:0.322659:0.691942:0.000000 =:@0.370884:0.707515:0.381001:0.707515:0.381001:0.691942:0.370884:0.691942:0.000000 +:@0.236915:0.736628:0.247032:0.736628:0.247032:0.721055:0.236915:0.721055:0.000000 =:@0.276497:0.736628:0.286614:0.736628:0.286614:0.721055:0.276497:0.721055:0.000000 4–3–:@0.169801:0.678941:0.225490:0.678941:0.225490:0.662552:0.169801:0.662552:0.000000:0.000000:0.000000:0.000000 –2:@0.253352:0.678941:0.274065:0.678941:0.274065:0.662552:0.253352:0.662552:0.000000:0.000000 3–5:@0.323396:0.678941:0.365319:0.678941:0.365319:0.662552:0.323396:0.662552:0.000000:0.000000:0.000000 4–3–24 –3:@0.150839:0.706837:0.272683:0.706837:0.272683:0.690448:0.150839:0.690448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –2:@0.298869:0.706837:0.319581:0.706837:0.319581:0.690448:0.298869:0.690448:0.000000:0.000000 –2 3–5:@0.347610:0.706837:0.425448:0.706837:0.425448:0.690448:0.347610:0.690448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.169783:0.735950:0.178776:0.735950:0.178776:0.719561:0.169783:0.719561:0.000000 –11:@0.199415:0.735950:0.227775:0.735950:0.227775:0.719561:0.199415:0.719561:0.000000:0.000000:0.000000 6:@0.249409:0.735950:0.258402:0.735950:0.258402:0.719561:0.249409:0.719561:0.000000 2:@0.282088:0.666486:0.287299:0.666486:0.287299:0.656988:0.282088:0.656988:0.000000 2:@0.372918:0.666486:0.378130:0.666486:0.378130:0.656988:0.372918:0.656988:0.000000 2:@0.189898:0.728290:0.195109:0.728290:0.195109:0.718792:0.189898:0.718792:0.000000 2:@0.266802:0.721766:0.272014:0.721766:0.272014:0.712267:0.266802:0.712267:0.000000 2:@0.299727:0.728290:0.304939:0.728290:0.304939:0.718792:0.299727:0.718792:0.000000 x:@0.180789:0.678941:0.188253:0.678941:0.188253:0.662580:0.180789:0.662580:0.000000 x:@0.241988:0.678941:0.249451:0.678941:0.249451:0.662580:0.241988:0.662580:0.000000 x:@0.333241:0.678941:0.340704:0.678941:0.340704:0.662580:0.333241:0.662580:0.000000 x:@0.161846:0.706837:0.169309:0.706837:0.169309:0.690476:0.161846:0.690476:0.000000 x:@0.240642:0.706837:0.248106:0.706837:0.248106:0.690476:0.240642:0.690476:0.000000 x:@0.287541:0.706837:0.295004:0.706837:0.295004:0.690476:0.287541:0.690476:0.000000 x:@0.336282:0.706837:0.343745:0.706837:0.343745:0.690476:0.336282:0.690476:0.000000 x:@0.393389:0.706837:0.400852:0.706837:0.400852:0.690476:0.393389:0.690476:0.000000 x:@0.180789:0.735950:0.188253:0.735950:0.188253:0.719589:0.180789:0.719589:0.000000 x:@0.226342:0.735950:0.233806:0.735950:0.233806:0.719589:0.226342:0.719589:0.000000 x:@0.290618:0.735950:0.298081:0.735950:0.298081:0.719589:0.290618:0.719589:0.000000 4 – 11 + 6 = :@0.115205:0.772047:0.259026:0.772053:0.259026:0.755664:0.115205:0.755658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.156483:0.772047:0.163946:0.772047:0.163946:0.755686:0.156483:0.755686:0.000000 2:@0.163948:0.766006:0.169191:0.766006:0.169191:0.756451:0.163948:0.756451:0.000000 x:@0.204462:0.772053:0.211925:0.772053:0.211925:0.755692:0.204462:0.755692:0.000000 x:@0.259026:0.772053:0.266490:0.772053:0.266490:0.755692:0.259026:0.755692:0.000000 2:@0.266488:0.766006:0.271731:0.766006:0.271731:0.756451:0.266488:0.756451:0.000000 3 – 11 + 6 = 0:@0.115209:0.795777:0.268019:0.795777:0.268019:0.779388:0.115209:0.779388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.156487:0.795777:0.163950:0.795777:0.163950:0.779416:0.156487:0.779416:0.000000 2:@0.163948:0.789730:0.169191:0.789730:0.169191:0.780175:0.163948:0.780175:0.000000 x:@0.204462:0.795777:0.211925:0.795777:0.211925:0.779416:0.204462:0.779416:0.000000 ( – 3)(3 – 2) = 0:@0.115217:0.819496:0.271557:0.819496:0.271557:0.803107:0.115217:0.803107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.152386:0.819496:0.159849:0.819496:0.159849:0.803135:0.152386:0.803135:0.000000 x:@0.204886:0.819496:0.212349:0.819496:0.212349:0.803135:0.204886:0.803135:0.000000 = 3:@0.115217:0.843215:0.188246:0.843227:0.188246:0.826838:0.115217:0.826826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.147502:0.843215:0.154966:0.843215:0.154966:0.826854:0.147502:0.826854:0.000000 1:@0.154957:0.846390:0.160200:0.846390:0.160200:0.836835:0.154957:0.836835:0.000000 :@0.115217:0.877221:0.147502:0.877221:0.147502:0.860832:0.115217:0.860832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.151577:0.877009:0.159040:0.877009:0.159040:0.860648:0.151577:0.860648:0.000000 =:@0.169433:0.877687:0.179550:0.877687:0.179550:0.862114:0.169433:0.862114:0.000000 2:@0.186663:0.868489:0.195655:0.868489:0.195655:0.852101:0.186663:0.852101:0.000000 3:@0.186865:0.887935:0.195858:0.887935:0.195858:0.871546:0.186865:0.871546:0.000000 ;:@0.200373:0.877009:0.203579:0.877009:0.203579:0.860620:0.200373:0.860620:0.000000 2:@0.159743:0.879013:0.164955:0.879013:0.164955:0.869515:0.159743:0.869515:0.000000 rechazamos:@0.207618:0.877216:0.297951:0.877216:0.297951:0.860592:0.207618:0.860592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 porque no satisface la :@0.297766:0.877216:0.461772:0.877216:0.461772:0.860827:0.297766:0.860827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.115204:0.885846:0.119239:0.885846:0.119239:0.869458:0.115204:0.869458:0.000000 ecuación.:@0.115204:0.909565:0.217754:0.909565:0.217754:0.893177:0.115204:0.893177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.540919:0.559797:0.560950:0.559797:0.560950:0.542896:0.540919:0.542896:0.000000:0.000000:0.000000 Resolvamos:@0.574162:0.559797:0.665600:0.559797:0.665600:0.543173:0.574162:0.543173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la siguiente ecuación por :@0.665600:0.559797:0.883966:0.559797:0.883966:0.543408:0.665600:0.543408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cambio de variable.:@0.574162:0.576393:0.717214:0.576393:0.717214:0.560004:0.574162:0.560004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( + ) –8( + ) + 12 = 0:@0.574162:0.596558:0.764709:0.596563:0.764709:0.580174:0.574162:0.580169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.579046:0.596558:0.586509:0.596558:0.586509:0.580197:0.579046:0.580197:0.000000 2:@0.586506:0.590516:0.591748:0.590516:0.591748:0.580961:0.586506:0.580961:0.000000 x:@0.610802:0.596563:0.618265:0.596563:0.618265:0.580202:0.610802:0.580202:0.000000 2:@0.623148:0.590516:0.628391:0.590516:0.628391:0.580961:0.623148:0.580961:0.000000 x:@0.655515:0.596563:0.662979:0.596563:0.662979:0.580202:0.655515:0.580202:0.000000 2:@0.662979:0.590516:0.668221:0.590516:0.668221:0.580961:0.662979:0.580961:0.000000 x:@0.687276:0.596563:0.694739:0.596563:0.694739:0.580202:0.687276:0.580202:0.000000 sea = + , entonces:@0.574167:0.620282:0.745265:0.620287:0.745265:0.603898:0.574167:0.603893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.602380:0.620282:0.611649:0.620282:0.611649:0.603921:0.602380:0.603921:0.000000 x:@0.630703:0.620282:0.638167:0.620282:0.638167:0.603921:0.630703:0.603921:0.000000 2:@0.638157:0.614240:0.643399:0.614240:0.643399:0.604685:0.638157:0.604685:0.000000 x:@0.662453:0.620287:0.669916:0.620287:0.669916:0.603926:0.662453:0.603926:0.000000 :@0.540922:0.644006:0.544958:0.644006:0.544958:0.627617:0.540922:0.627617:0.000000 p:@0.574166:0.644006:0.583435:0.644006:0.583435:0.627645:0.574166:0.627645:0.000000 2:@0.583428:0.637965:0.588671:0.637965:0.588671:0.628410:0.583428:0.628410:0.000000 – 8 + 12 = 0:@0.588670:0.644012:0.689303:0.644012:0.689303:0.627623:0.588670:0.627623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.614948:0.644012:0.624217:0.644012:0.624217:0.627651:0.614948:0.627651:0.000000 ( – 6)( – 2) = 0:@0.574167:0.667731:0.692841:0.667731:0.692841:0.651342:0.574167:0.651342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.579051:0.667731:0.588320:0.667731:0.588320:0.651370:0.579051:0.651370:0.000000 p:@0.624364:0.667731:0.633633:0.667731:0.633633:0.651370:0.624364:0.651370:0.000000 :@0.540924:0.691450:0.544960:0.691450:0.544960:0.675061:0.540924:0.675061:0.000000 p:@0.574167:0.691450:0.583437:0.691450:0.583437:0.675089:0.574167:0.675089:0.000000 = 6; = 2:@0.583437:0.691450:0.660077:0.691450:0.660077:0.675061:0.583437:0.675061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.622761:0.691450:0.632030:0.691450:0.632030:0.675089:0.622761:0.675089:0.000000 :@0.540924:0.715169:0.544960:0.715169:0.544960:0.698780:0.540924:0.698780:0.000000 reemplazamos :@0.574167:0.715169:0.691017:0.715169:0.691017:0.698545:0.574167:0.698545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lo que es :@0.691017:0.715169:0.761355:0.715169:0.761355:0.698780:0.691017:0.698780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.761355:0.715169:0.770625:0.715169:0.770625:0.698808:0.761355:0.698808:0.000000 :@0.540924:0.738888:0.544960:0.738888:0.544960:0.722499:0.540924:0.722499:0.000000 x:@0.574167:0.738888:0.581631:0.738888:0.581631:0.722527:0.574167:0.722527:0.000000 2:@0.581622:0.732862:0.586865:0.732862:0.586865:0.723307:0.581622:0.723307:0.000000 + = 6; + – 6 = 0:@0.586864:0.738910:0.746253:0.738910:0.746253:0.722521:0.586864:0.722521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.605918:0.738910:0.613381:0.738910:0.613381:0.722548:0.605918:0.722548:0.000000 x:@0.652706:0.738910:0.660169:0.738910:0.660169:0.722548:0.652706:0.722548:0.000000 2:@0.660168:0.732862:0.665410:0.732862:0.665410:0.723307:0.660168:0.723307:0.000000 x:@0.684465:0.738910:0.691928:0.738910:0.691928:0.722548:0.684465:0.722548:0.000000 ( + 3)( – 2) = 0:@0.574157:0.762628:0.690989:0.762628:0.690989:0.746240:0.574157:0.746240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.579041:0.762628:0.586504:0.762628:0.586504:0.746267:0.579041:0.746267:0.000000 x:@0.624317:0.762628:0.631781:0.762628:0.631781:0.746267:0.624317:0.746267:0.000000 :@0.540914:0.786347:0.544950:0.786347:0.544950:0.769959:0.540914:0.769959:0.000000 x:@0.574157:0.786347:0.581621:0.786347:0.581621:0.769986:0.574157:0.769986:0.000000 1:@0.581622:0.789521:0.586865:0.789521:0.586865:0.779966:0.581622:0.779966:0.000000 = –3; = 2:@0.586864:0.786358:0.676154:0.786358:0.676154:0.769969:0.586864:0.769969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.635403:0.786358:0.642866:0.786358:0.642866:0.769996:0.635403:0.769996:0.000000 2:@0.642866:0.789521:0.648108:0.789521:0.648108:0.779966:0.642866:0.779966:0.000000 :@0.540914:0.885521:0.544950:0.885521:0.544950:0.869132:0.540914:0.869132:0.000000 (:@0.576776:0.836593:0.582912:0.836593:0.582912:0.816659:0.576776:0.816659:0.000000 )(:@0.616561:0.836593:0.629921:0.836593:0.629921:0.816659:0.616561:0.816659:0.000000:0.000000 ):@0.660124:0.836593:0.666260:0.836593:0.666260:0.816659:0.660124:0.816659:0.000000 {:@0.600544:0.879673:0.609389:0.879673:0.609389:0.861297:0.600544:0.861297:0.000000 }:@0.674421:0.879673:0.683266:0.879673:0.683266:0.861297:0.674421:0.861297:0.000000 +=:@0.596095:0.812410:0.631347:0.812410:0.631347:0.796837:0.596095:0.796837:0.000000:0.000000 +− =:@0.673841:0.812410:0.732220:0.812410:0.732220:0.796837:0.673841:0.796837:0.000000:0.000000:0.000000:0.000000 +:@0.595247:0.834137:0.605364:0.834137:0.605364:0.818565:0.595247:0.818565:0.000000 − =:@0.642680:0.834137:0.679019:0.834137:0.679019:0.818565:0.642680:0.818565:0.000000:0.000000:0.000000 =−:@0.595874:0.856183:0.618669:0.856183:0.618669:0.840610:0.595874:0.840610:0.000000:0.000000 =:@0.655450:0.856183:0.665567:0.856183:0.665567:0.840610:0.655450:0.840610:0.000000 =− −:@0.588650:0.877910:0.642643:0.877910:0.642643:0.862337:0.588650:0.862337:0.000000:0.000000:0.000000:0.000000 x:@0.578238:0.811732:0.585701:0.811732:0.585701:0.795371:0.578238:0.795371:0.000000 x:@0.609694:0.811732:0.617157:0.811732:0.617157:0.795371:0.609694:0.795371:0.000000 x:@0.655985:0.811732:0.663448:0.811732:0.663448:0.795371:0.655985:0.795371:0.000000 x:@0.687440:0.811732:0.694904:0.811732:0.694904:0.795371:0.687440:0.795371:0.000000 x:@0.584688:0.833460:0.592151:0.833460:0.592151:0.817099:0.584688:0.817099:0.000000 x:@0.631697:0.833460:0.639160:0.833460:0.639160:0.817099:0.631697:0.817099:0.000000 x:@0.578257:0.855505:0.585720:0.855505:0.585720:0.839144:0.578257:0.839144:0.000000 x:@0.636783:0.855505:0.644246:0.855505:0.644246:0.839144:0.636783:0.839144:0.000000 S:@0.577151:0.877233:0.585222:0.877233:0.585222:0.860871:0.577151:0.860871:0.000000 2;:@0.633908:0.811732:0.646273:0.811732:0.646273:0.795343:0.633908:0.795343:0.000000:0.000000 20:@0.710586:0.811732:0.743774:0.811732:0.743774:0.795343:0.710586:0.795343:0.000000:0.000000 2:@0.607401:0.833460:0.616394:0.833460:0.616394:0.817071:0.607401:0.817071:0.000000 1:@0.653673:0.833460:0.662665:0.833460:0.662665:0.817071:0.653673:0.817071:0.000000 0:@0.681591:0.833460:0.690583:0.833460:0.690583:0.817071:0.681591:0.817071:0.000000 2;:@0.618513:0.855505:0.630878:0.855505:0.630878:0.839116:0.618513:0.839116:0.000000:0.000000 1:@0.666996:0.855505:0.675989:0.855505:0.675989:0.839116:0.666996:0.839116:0.000000 3, 2,1,2:@0.619250:0.877233:0.675049:0.877233:0.675049:0.860844:0.619250:0.860844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.587352:0.804071:0.592563:0.804071:0.592563:0.794573:0.587352:0.794573:0.000000 2:@0.665089:0.804071:0.670300:0.804071:0.670300:0.794573:0.665089:0.794573:0.000000 3:@0.586412:0.857509:0.591623:0.857509:0.591623:0.848011:0.586412:0.848011:0.000000 4:@0.645363:0.857509:0.650575:0.857509:0.650575:0.848011:0.645363:0.848011:0.000000 13:@0.048440:0.122645:0.082072:0.122645:0.082072:0.065614:0.048440:0.065614:0.000000:0.000000 Ecuaciones que se reducen a una ecuación :@0.115891:0.143170:0.767676:0.143170:0.767676:0.102434:0.115891:0.102434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de segundo grado:@0.115891:0.183416:0.379691:0.183416:0.379691:0.142680:0.115891:0.142680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M.5.1.27. Resuelva ecuaciones que se pueden reducir a ecuaciones de segundo grado con una incógnita. :@0.125388:0.074999:0.616904:0.074999:0.616904:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ecuaciones bicuadradas:@0.248352:0.214392:0.438652:0.214392:0.438652:0.197492:0.248352:0.197492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ecuaciones trinomias:@0.641082:0.214392:0.809621:0.214392:0.809621:0.197492:0.641082:0.197492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Son ecuaciones de cuarto grado incompletas de la forma Se denominan a las ecuaciones enteras :@0.125274:0.239176:0.874004:0.239168:0.874004:0.222779:0.125274:0.222787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ax:@0.125274:0.255773:0.142006:0.255773:0.142006:0.239411:0.125274:0.239411:0.000000:0.000000 4:@0.142003:0.249731:0.147245:0.249731:0.147245:0.240176:0.142003:0.240176:0.000000 + :@0.147244:0.255778:0.166299:0.255778:0.166299:0.239389:0.147244:0.239389:0.000000:0.000000:0.000000 bx:@0.166299:0.255778:0.182865:0.255778:0.182865:0.239417:0.166299:0.239417:0.000000:0.000000 2:@0.182865:0.249731:0.188108:0.249731:0.188108:0.240176:0.182865:0.240176:0.000000 + = 0:@0.188108:0.255778:0.242875:0.255778:0.242875:0.239389:0.188108:0.239389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.207163:0.255778:0.214829:0.255778:0.214829:0.239417:0.207163:0.239417:0.000000 Para su solución se puede proceder de dos formas diferen-:@0.125270:0.279497:0.561784:0.279497:0.561784:0.263108:0.125270:0.263108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tes::@0.125270:0.296093:0.149871:0.296093:0.149871:0.279704:0.125270:0.279704:0.000000:0.000000:0.000000:0.000000 i):@0.125270:0.319812:0.135534:0.319812:0.135534:0.302911:0.125270:0.302911:0.000000:0.000000 Factorizando como las ecuaciones de segundo grado.:@0.135534:0.319812:0.548271:0.319812:0.548271:0.303423:0.135534:0.303423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ii):@0.125270:0.343531:0.140252:0.343531:0.140252:0.326630:0.125270:0.326630:0.000000:0.000000:0.000000 Efectuando cambio de variable transformando a la ecua-:@0.140252:0.343531:0.561764:0.343531:0.561764:0.327142:0.140252:0.327142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ción bicuadrada en una ecuación de segundo grado.:@0.153759:0.360127:0.540937:0.360127:0.540937:0.343739:0.153759:0.343739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que tienen solamente tres términos, de :@0.580728:0.255764:0.874046:0.255764:0.874046:0.239375:0.580728:0.239375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los cuales dos tienen incógnitas y en :@0.580728:0.272360:0.874018:0.272360:0.874018:0.255971:0.580728:0.255971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ellos los exponentes de la incógnita son :@0.580728:0.288957:0.874002:0.288957:0.874002:0.272568:0.580728:0.272568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el uno duplo del otro, son de la forma::@0.580728:0.305553:0.859663:0.305553:0.859663:0.289164:0.580728:0.289164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.580728:0.329272:0.588191:0.329272:0.588191:0.312911:0.580728:0.312911:0.000000 2:@0.588191:0.323244:0.593434:0.323244:0.593434:0.313689:0.588191:0.313689:0.000000 n:@0.593434:0.323244:0.598977:0.323244:0.598977:0.313705:0.593434:0.313705:0.000000 + :@0.598976:0.329291:0.618030:0.329291:0.618030:0.312902:0.598976:0.312902:0.000000:0.000000:0.000000 px:@0.618030:0.329291:0.634597:0.329291:0.634597:0.312930:0.618030:0.312930:0.000000:0.000000 n:@0.634597:0.323244:0.640140:0.323244:0.640140:0.313705:0.634597:0.313705:0.000000 + = 0:@0.640140:0.329291:0.696510:0.329291:0.696510:0.312902:0.640140:0.312902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 q:@0.659194:0.329291:0.668463:0.329291:0.668463:0.312930:0.659194:0.312930:0.000000 Ecuaciones binomias:@0.260365:0.392136:0.426656:0.392136:0.426656:0.375235:0.260365:0.375235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ecuaciones irracionales:@0.633009:0.392136:0.817725:0.392136:0.817725:0.375235:0.633009:0.375235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Son las ecuaciones enteras que solamente tienen dos térmi-:@0.125290:0.417086:0.561756:0.417086:0.561756:0.400697:0.125290:0.400697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nos y son de la forma::@0.125290:0.433682:0.284503:0.433682:0.284503:0.417293:0.125290:0.417293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.125290:0.457401:0.132754:0.457401:0.132754:0.441040:0.125290:0.441040:0.000000 n:@0.132733:0.451363:0.138277:0.451363:0.138277:0.441824:0.132733:0.441824:0.000000 ± = 0:@0.138277:0.457410:0.194647:0.457410:0.194647:0.441021:0.138277:0.441021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.157331:0.457410:0.166600:0.457410:0.166600:0.441049:0.157331:0.441049:0.000000 Son aquellas ecuaciones que contienen :@0.580724:0.417095:0.874019:0.417095:0.874019:0.400706:0.580724:0.400706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 radicales y para su resolución se eleva :@0.580724:0.433691:0.873980:0.433691:0.873980:0.417302:0.580724:0.417302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a potencias en sus dos miembros que :@0.580724:0.450287:0.874000:0.450287:0.874000:0.433898:0.580724:0.433898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 permiten eliminar las raíces.:@0.580724:0.466884:0.783996:0.466884:0.783996:0.450495:0.580724:0.450495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Por ejemplo: :@0.580724:0.496895:0.676806:0.496895:0.676806:0.480506:0.580724:0.480506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.680890:0.495632:0.688353:0.495632:0.688353:0.479271:0.680890:0.479271:0.000000 x:@0.749054:0.495632:0.756517:0.495632:0.756517:0.479271:0.749054:0.479271:0.000000 +:@0.691468:0.496310:0.701585:0.496310:0.701585:0.480737:0.691468:0.480737:0.000000 =:@0.769306:0.496310:0.779423:0.496310:0.779423:0.480737:0.769306:0.480737:0.000000 25–:@0.716124:0.495632:0.745074:0.495632:0.745074:0.479243:0.716124:0.479243:0.000000:0.000000:0.000000 7:@0.781560:0.495632:0.790553:0.495632:0.790553:0.479243:0.781560:0.479243:0.000000 2:@0.758161:0.487971:0.763372:0.487971:0.763372:0.478473:0.758161:0.478473:0.000000