124:@0.026565:0.967627:0.050760:0.967627:0.050760:0.951847:0.026565:0.951847:0.000000:0.000000:0.000000
Como :@0.404236:0.113854:0.453382:0.113854:0.453382:0.097357:0.404236:0.097357:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.482229:0.109806:0.489704:0.109806:0.489704:0.093337:0.482229:0.093337:0.000000
+:@0.492073:0.110326:0.502650:0.110326:0.502650:0.094045:0.492073:0.094045:0.000000
b:@0.510240:0.100971:0.519507:0.100971:0.519507:0.084503:0.510240:0.084503:0.000000
2:@0.505886:0.121055:0.514382:0.121055:0.514382:0.104557:0.505886:0.104557:0.000000
a:@0.515057:0.121170:0.524034:0.121170:0.524034:0.104702:0.515057:0.104702:0.000000
2:@0.533218:0.090417:0.538135:0.090417:0.538135:0.080868:0.533218:0.080868:0.000000
=:@0.544370:0.109690:0.555178:0.109690:0.555178:0.093192:0.544370:0.093192:0.000000
x:@0.561497:0.109806:0.568972:0.109806:0.568972:0.093337:0.561497:0.093337:0.000000
+:@0.571341:0.110326:0.581918:0.110326:0.581918:0.094045:0.571341:0.094045:0.000000
b:@0.589508:0.100971:0.598775:0.100971:0.598775:0.084503:0.589508:0.084503:0.000000
2:@0.585155:0.121055:0.593651:0.121055:0.593651:0.104557:0.585155:0.104557:0.000000
a:@0.594325:0.121170:0.603302:0.121170:0.603302:0.104702:0.594325:0.104702:0.000000
,:@0.609547:0.109690:0.612302:0.109690:0.612302:0.093192:0.609547:0.093192:0.000000
 de la ecuación :@0.615647:0.113855:0.739869:0.113855:0.739869:0.097357:0.615647:0.097357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.755569:0.110833:0.763044:0.110833:0.763044:0.094364:0.755569:0.094364:0.000000
+:@0.765414:0.111353:0.775990:0.111353:0.775990:0.095073:0.765414:0.095073:0.000000
b:@0.783581:0.101999:0.792847:0.101999:0.792847:0.085530:0.783581:0.085530:0.000000
2:@0.779227:0.122082:0.787723:0.122082:0.787723:0.105584:0.779227:0.105584:0.000000
a:@0.788397:0.122198:0.797375:0.122198:0.797375:0.105729:0.788397:0.105729:0.000000
2:@0.806558:0.091444:0.811476:0.091444:0.811476:0.081895:0.806558:0.081895:0.000000
=:@0.816191:0.110717:0.826999:0.110717:0.826999:0.094220:0.816191:0.094220:0.000000
d:@0.839059:0.101999:0.848229:0.101999:0.848229:0.085530:0.839059:0.085530:0.000000
4:@0.831256:0.122082:0.839752:0.122082:0.839752:0.105584:0.831256:0.105584:0.000000
a:@0.840427:0.122198:0.849404:0.122198:0.849404:0.105729:0.840427:0.105729:0.000000
2:@0.849540:0.114036:0.854458:0.114036:0.854458:0.104487:0.849540:0.104487:0.000000
 se :@0.868457:0.113854:0.895910:0.113854:0.895910:0.097357:0.868457:0.097357:0.000000:0.000000:0.000000:0.000000
tiene que :@0.404241:0.154094:0.477430:0.154094:0.477430:0.137596:0.404241:0.137596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.512163:0.165089:0.520659:0.165089:0.520659:0.148592:0.512163:0.148592:0.000000
=:@0.537440:0.154086:0.548247:0.154086:0.548247:0.137588:0.537440:0.137588:0.000000
4:@0.565663:0.165089:0.574159:0.165089:0.574159:0.148592:0.565663:0.148592:0.000000
2:@0.583937:0.157054:0.588855:0.157054:0.588855:0.147505:0.583937:0.147505:0.000000
x:@0.486459:0.154204:0.493934:0.154204:0.493934:0.137735:0.486459:0.137735:0.000000
b:@0.516512:0.144892:0.525779:0.144892:0.525779:0.128423:0.516512:0.128423:0.000000
a:@0.521329:0.165207:0.530306:0.165207:0.530306:0.148738:0.521329:0.148738:0.000000
d:@0.573634:0.144892:0.582804:0.144892:0.582804:0.128423:0.573634:0.128423:0.000000
a:@0.574828:0.165207:0.583806:0.165207:0.583806:0.148738:0.574828:0.148738:0.000000
+:@0.497343:0.154724:0.507920:0.154724:0.507920:0.138443:0.497343:0.138443:0.000000
 y, de la definición de valor absoluto, se :@0.597024:0.154088:0.895900:0.154088:0.895900:0.137590:0.597024:0.137590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deduce que :@0.404237:0.194327:0.496111:0.194327:0.496111:0.177830:0.404237:0.177830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.528976:0.205323:0.537472:0.205323:0.537472:0.188825:0.528976:0.188825:0.000000
=:@0.551277:0.194322:0.562085:0.194322:0.562085:0.177824:0.551277:0.177824:0.000000
4:@0.591064:0.205323:0.599560:0.205323:0.599560:0.188825:0.591064:0.188825:0.000000
,    o   :@0.620696:0.194322:0.678504:0.194322:0.678504:0.177824:0.620696:0.177824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.609336:0.197287:0.614253:0.197287:0.614253:0.187738:0.609336:0.187738:0.000000
x:@0.503271:0.194437:0.510746:0.194437:0.510746:0.177968:0.503271:0.177968:0.000000
b:@0.533325:0.185126:0.542592:0.185126:0.542592:0.168657:0.533325:0.168657:0.000000
a:@0.538138:0.205439:0.547116:0.205439:0.547116:0.188970:0.538138:0.188970:0.000000
d:@0.599021:0.185126:0.608192:0.185126:0.608192:0.168657:0.599021:0.168657:0.000000
a:@0.600226:0.205439:0.609203:0.205439:0.609203:0.188970:0.600226:0.188970:0.000000
+:@0.514160:0.194958:0.524737:0.194958:0.524737:0.178677:0.514160:0.178677:0.000000
−:@0.564944:0.194958:0.575520:0.194958:0.575520:0.178677:0.564944:0.178677:0.000000
2:@0.711361:0.205323:0.719857:0.205323:0.719857:0.188825:0.711361:0.188825:0.000000
=:@0.733662:0.194322:0.744470:0.194322:0.744470:0.177824:0.733662:0.177824:0.000000
4:@0.761880:0.205323:0.770376:0.205323:0.770376:0.188825:0.761880:0.188825:0.000000
2:@0.780150:0.197287:0.785067:0.197287:0.785067:0.187738:0.780150:0.187738:0.000000
x:@0.685656:0.194437:0.693131:0.194437:0.693131:0.177968:0.685656:0.177968:0.000000
b:@0.715710:0.185126:0.724977:0.185126:0.724977:0.168657:0.715710:0.168657:0.000000
a:@0.720521:0.205439:0.729499:0.205439:0.729499:0.188970:0.720521:0.188970:0.000000
d:@0.769837:0.185126:0.779007:0.185126:0.779007:0.168657:0.769837:0.168657:0.000000
a:@0.771042:0.205439:0.780019:0.205439:0.780019:0.188970:0.771042:0.188970:0.000000
+:@0.696545:0.194958:0.707122:0.194958:0.707122:0.178677:0.696545:0.178677:0.000000
, con lo cual, :@0.794181:0.194322:0.895919:0.194322:0.895919:0.177824:0.794181:0.177824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.419156:0.234555:0.429964:0.234555:0.429964:0.218057:0.419156:0.218057:0.000000
2:@0.446536:0.245557:0.455032:0.245557:0.455032:0.229059:0.446536:0.229059:0.000000
4:@0.496799:0.245557:0.505295:0.245557:0.505295:0.229059:0.496799:0.229059:0.000000
2:@0.515063:0.237521:0.519981:0.237521:0.519981:0.227972:0.515063:0.227972:0.000000
x:@0.407954:0.234671:0.415428:0.234671:0.415428:0.218202:0.407954:0.218202:0.000000
b:@0.450877:0.225359:0.460143:0.225359:0.460143:0.208891:0.450877:0.208891:0.000000
a:@0.455698:0.245672:0.464675:0.245672:0.464675:0.229203:0.455698:0.229203:0.000000
d:@0.504751:0.225359:0.513921:0.225359:0.513921:0.208891:0.504751:0.208891:0.000000
a:@0.505955:0.245672:0.514933:0.245672:0.514933:0.229203:0.505955:0.229203:0.000000
−:@0.432819:0.235191:0.407697:0.235191:0.407697:0.218911:0.432819:0.218911:0.000000
−:@0.468518:0.235191:0.443396:0.235191:0.443396:0.218911:0.468518:0.218911:0.000000
 o  =:@0.528203:0.234555:0.571753:0.234555:0.571753:0.218057:0.528203:0.218057:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.588323:0.245557:0.596819:0.245557:0.596819:0.229059:0.588323:0.229059:0.000000
4:@0.638586:0.245557:0.647082:0.245557:0.647082:0.229059:0.638586:0.229059:0.000000
.  :@0.667478:0.234555:0.677485:0.234555:0.677485:0.218057:0.667478:0.218057:0.000000:0.000000:0.000000
2:@0.656852:0.237521:0.661770:0.237521:0.661770:0.227972:0.656852:0.227972:0.000000
x:@0.549741:0.234671:0.557216:0.234671:0.557216:0.218202:0.549741:0.218202:0.000000
b:@0.592664:0.225359:0.601930:0.225359:0.601930:0.208891:0.592664:0.208891:0.000000
a:@0.597485:0.245672:0.606463:0.245672:0.606463:0.229203:0.597485:0.229203:0.000000
d:@0.646538:0.225359:0.655708:0.225359:0.655708:0.208891:0.646538:0.208891:0.000000
a:@0.647742:0.245672:0.656720:0.245672:0.656720:0.229203:0.647742:0.229203:0.000000
−:@0.574608:0.235191:0.585185:0.235191:0.585185:0.218911:0.574608:0.218911:0.000000
+:@0.610307:0.235191:0.620883:0.235191:0.620883:0.218911:0.610307:0.218911:0.000000
Abreviadamente escribiremos:  =:@0.404245:0.270977:0.649199:0.270978:0.649199:0.254480:0.404245:0.254480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.665771:0.281981:0.674267:0.281981:0.674267:0.265483:0.665771:0.265483:0.000000
4:@0.716400:0.281981:0.724896:0.281981:0.724896:0.265483:0.716400:0.265483:0.000000
.:@0.745293:0.270978:0.748048:0.270978:0.748048:0.254480:0.745293:0.254480:0.000000
2:@0.734665:0.273944:0.739583:0.273944:0.739583:0.264395:0.734665:0.264395:0.000000
x:@0.627189:0.271094:0.634664:0.271094:0.634664:0.254625:0.627189:0.254625:0.000000
b:@0.670112:0.261782:0.679378:0.261782:0.679378:0.245313:0.670112:0.245313:0.000000
a:@0.674933:0.282096:0.683911:0.282096:0.683911:0.265627:0.674933:0.265627:0.000000
d:@0.724353:0.261782:0.733523:0.261782:0.733523:0.245313:0.724353:0.245313:0.000000
a:@0.725557:0.282096:0.734535:0.282096:0.734535:0.265627:0.725557:0.265627:0.000000
−:@0.652056:0.271614:0.662633:0.271614:0.662633:0.255333:0.652056:0.255333:0.000000
±:@0.688121:0.271614:0.698697:0.271614:0.698697:0.255333:0.688121:0.255333:0.000000
Como :@0.404237:0.314529:0.453383:0.314529:0.453383:0.298032:0.404237:0.298032:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.470919:0.325531:0.479415:0.325531:0.479415:0.309033:0.470919:0.309033:0.000000
=:@0.502283:0.314528:0.513091:0.314528:0.513091:0.298030:0.502283:0.298030:0.000000
2:@0.517040:0.325531:0.525536:0.325531:0.525536:0.309033:0.517040:0.309033:0.000000
,  resulta   =:@0.545668:0.314528:0.637593:0.314530:0.637593:0.298032:0.545668:0.298030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.489189:0.317495:0.494107:0.317495:0.494107:0.307946:0.489189:0.307946:0.000000
d:@0.478876:0.305334:0.488047:0.305334:0.488047:0.288865:0.478876:0.288865:0.000000
a:@0.480071:0.325649:0.489049:0.325649:0.489049:0.309180:0.480071:0.309180:0.000000
d:@0.530700:0.305334:0.539870:0.305334:0.539870:0.288865:0.530700:0.288865:0.000000
a:@0.530238:0.325649:0.539215:0.325649:0.539215:0.309180:0.530238:0.309180:0.000000
2:@0.654165:0.325531:0.662661:0.325531:0.662661:0.309033:0.654165:0.309033:0.000000
2:@0.691328:0.325531:0.699824:0.325531:0.699824:0.309033:0.691328:0.309033:0.000000
.:@0.719238:0.314530:0.721993:0.314530:0.721993:0.298032:0.719238:0.298032:0.000000
x:@0.615591:0.314645:0.623066:0.314645:0.623066:0.298176:0.615591:0.298176:0.000000
b:@0.658514:0.305334:0.667781:0.305334:0.667781:0.288865:0.658514:0.288865:0.000000
a:@0.663330:0.325649:0.672308:0.325649:0.672308:0.309180:0.663330:0.309180:0.000000
d:@0.705001:0.305334:0.714171:0.305334:0.714171:0.288865:0.705001:0.288865:0.000000
a:@0.704539:0.325649:0.713516:0.325649:0.713516:0.309180:0.704539:0.309180:0.000000
−:@0.640463:0.315166:0.651039:0.315166:0.651039:0.298885:0.640463:0.298885:0.000000
±:@0.676527:0.315166:0.687104:0.315166:0.687104:0.298885:0.676527:0.298885:0.000000
Si  > 0, | | =  , entonces  =:@0.404238:0.358081:0.612191:0.358081:0.612191:0.341584:0.404238:0.341583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.420189:0.358196:0.433309:0.358196:0.433309:0.341727:0.420189:0.341727:0.000000:0.000000
a:@0.468661:0.358196:0.477638:0.358196:0.477638:0.341727:0.468661:0.341727:0.000000
a:@0.501739:0.358196:0.510717:0.358196:0.510717:0.341727:0.501739:0.341727:0.000000
2:@0.628762:0.369083:0.637258:0.369083:0.637258:0.352585:0.628762:0.352585:0.000000
2:@0.669238:0.369083:0.677734:0.369083:0.677734:0.352585:0.669238:0.352585:0.000000
=:@0.694830:0.358081:0.705638:0.358081:0.705638:0.341584:0.694830:0.341584:0.000000
2:@0.731370:0.369083:0.739866:0.369083:0.739866:0.352585:0.731370:0.352585:0.000000
.:@0.774037:0.358081:0.776792:0.358081:0.776792:0.341584:0.774037:0.341584:0.000000
x:@0.590189:0.358197:0.597664:0.358197:0.597664:0.341728:0.590189:0.341728:0.000000
b:@0.633112:0.348885:0.642378:0.348885:0.642378:0.332417:0.633112:0.332417:0.000000
a:@0.637924:0.369198:0.646901:0.369198:0.646901:0.352730:0.637924:0.352730:0.000000
d:@0.679386:0.348884:0.688556:0.348884:0.688556:0.332415:0.679386:0.332415:0.000000
a:@0.678391:0.369198:0.687368:0.369198:0.687368:0.352730:0.678391:0.352730:0.000000
b:@0.721160:0.348883:0.730426:0.348883:0.730426:0.332415:0.721160:0.332415:0.000000
d:@0.759998:0.348883:0.769169:0.348883:0.769169:0.332415:0.759998:0.332415:0.000000
a:@0.740521:0.369198:0.749499:0.369198:0.749499:0.352730:0.740521:0.352730:0.000000
−:@0.615047:0.358717:0.625623:0.358717:0.625623:0.342437:0.615047:0.342437:0.000000
±:@0.651111:0.358717:0.661688:0.358717:0.661688:0.342437:0.651111:0.342437:0.000000
−±:@0.710005:0.349406:0.743835:0.349406:0.743835:0.333125:0.710005:0.333125:0.000000:0.000000
Si  < 0, | | = –   luego  =:@0.404237:0.399326:0.601249:0.398068:0.601249:0.381571:0.404237:0.382828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.420188:0.399441:0.433308:0.399441:0.433308:0.382973:0.420188:0.382973:0.000000:0.000000
a:@0.468660:0.399441:0.477637:0.399441:0.477637:0.382973:0.468660:0.382973:0.000000
a,:@0.512238:0.399441:0.523758:0.399441:0.523758:0.382973:0.512238:0.382973:0.000000:0.000000
2:@0.617819:0.409070:0.626315:0.409070:0.626315:0.392572:0.617819:0.392572:0.000000
2:@0.665828:0.409070:0.674324:0.409070:0.674324:0.392572:0.665828:0.392572:0.000000
=:@0.688127:0.398068:0.698935:0.398068:0.698935:0.381571:0.688127:0.381571:0.000000
2:@0.715507:0.409070:0.724003:0.409070:0.724003:0.392572:0.715507:0.392572:0.000000
2:@0.755984:0.409070:0.764480:0.409070:0.764480:0.392572:0.755984:0.392572:0.000000
=:@0.781574:0.398068:0.792382:0.398068:0.792382:0.381571:0.781574:0.381571:0.000000
2:@0.818116:0.409070:0.826612:0.409070:0.826612:0.392572:0.818116:0.392572:0.000000
.:@0.860783:0.398068:0.863537:0.398068:0.863537:0.381571:0.860783:0.381571:0.000000
x:@0.579240:0.398184:0.586715:0.398184:0.586715:0.381715:0.579240:0.381715:0.000000
b:@0.622163:0.388873:0.631430:0.388873:0.631430:0.372404:0.622163:0.372404:0.000000
a:@0.626981:0.409185:0.635959:0.409185:0.635959:0.392717:0.626981:0.392717:0.000000
d:@0.670589:0.388871:0.679760:0.388871:0.679760:0.372402:0.670589:0.372402:0.000000
a:@0.674987:0.409185:0.683964:0.409185:0.683964:0.392717:0.674987:0.392717:0.000000
b:@0.719853:0.388871:0.729120:0.388871:0.729120:0.372402:0.719853:0.372402:0.000000
a:@0.724669:0.409185:0.733647:0.409185:0.733647:0.392717:0.724669:0.392717:0.000000
d:@0.766132:0.388871:0.775302:0.388871:0.775302:0.372402:0.766132:0.372402:0.000000
a:@0.765136:0.409185:0.774114:0.409185:0.774114:0.392717:0.765136:0.392717:0.000000
b:@0.807905:0.388871:0.817172:0.388871:0.817172:0.372402:0.807905:0.372402:0.000000
d:@0.846744:0.388871:0.855914:0.388871:0.855914:0.372402:0.846744:0.372402:0.000000
a:@0.827267:0.409185:0.836244:0.409185:0.836244:0.392717:0.827267:0.392717:0.000000
−:@0.604104:0.398705:0.614681:0.398705:0.614681:0.382424:0.604104:0.382424:0.000000
±:@0.640169:0.398705:0.650745:0.398705:0.650745:0.382424:0.640169:0.382424:0.000000
−:@0.655408:0.409706:0.665985:0.409706:0.665985:0.393425:0.655408:0.393425:0.000000
−:@0.701791:0.398705:0.712367:0.398705:0.712367:0.382424:0.701791:0.382424:0.000000
−:@0.796749:0.389393:0.807326:0.389393:0.807326:0.373112:0.796749:0.373112:0.000000
En cualquiera de los casos anteriores, indicamos con  ,   las dos  :@0.404235:0.423804:0.895912:0.423804:0.895912:0.407306:0.404235:0.407307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.800517:0.423920:0.829704:0.423920:0.829704:0.407451:0.800517:0.407451:0.000000:0.000000:0.000000
1:@0.807996:0.426475:0.812518:0.426475:0.812518:0.417693:0.807996:0.417693:0.000000
2:@0.829704:0.426475:0.834226:0.426475:0.834226:0.417693:0.829704:0.417693:0.000000
raíces dadas por::@0.404244:0.441155:0.522203:0.441155:0.522203:0.424657:0.404244:0.424657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−−:@0.439574:0.464289:0.473037:0.464289:0.473037:0.448008:0.439574:0.448008:0.000000:0.000000
−−:@0.519929:0.464289:0.553393:0.464289:0.553393:0.448008:0.519929:0.448008:0.000000:0.000000
−:@0.588147:0.464289:0.598724:0.464289:0.598724:0.448008:0.588147:0.448008:0.000000
x:@0.407959:0.473080:0.415434:0.473080:0.415434:0.456611:0.407959:0.456611:0.000000
b:@0.450728:0.463769:0.459995:0.463769:0.459995:0.447300:0.450728:0.447300:0.000000
d:@0.489201:0.463769:0.498371:0.463769:0.498371:0.447300:0.489201:0.447300:0.000000
a:@0.469937:0.484043:0.478915:0.484043:0.478915:0.467574:0.469937:0.467574:0.000000
b:@0.531084:0.463769:0.540350:0.463769:0.540350:0.447300:0.531084:0.447300:0.000000
b:@0.569152:0.463769:0.578418:0.463769:0.578418:0.447300:0.569152:0.447300:0.000000
ac:@0.611015:0.463769:0.626986:0.463769:0.626986:0.447300:0.611015:0.447300:0.000000:0.000000
a:@0.574430:0.484043:0.583408:0.484043:0.583408:0.467574:0.574430:0.467574:0.000000
=:@0.424339:0.472965:0.435147:0.472965:0.435147:0.456467:0.424339:0.456467:0.000000
2:@0.460776:0.483927:0.469271:0.483927:0.469271:0.467429:0.460776:0.467429:0.000000
=:@0.504699:0.472965:0.515506:0.472965:0.515506:0.456467:0.504699:0.456467:0.000000
4:@0.601853:0.463653:0.610349:0.463653:0.610349:0.447155:0.601853:0.447155:0.000000
2:@0.565269:0.483927:0.573765:0.483927:0.573765:0.467429:0.565269:0.467429:0.000000
1:@0.415648:0.475183:0.420565:0.475183:0.420565:0.465635:0.415648:0.465635:0.000000
2:@0.578672:0.455617:0.583589:0.455617:0.583589:0.446068:0.578672:0.446068:0.000000
,:@0.633744:0.470450:0.636499:0.470450:0.636499:0.453952:0.633744:0.453952:0.000000
   :@0.636499:0.486789:0.649619:0.486789:0.649619:0.470291:0.636499:0.470291:0.000000:0.000000:0.000000
=:@0.426172:0.518605:0.436980:0.518605:0.436980:0.502107:0.426172:0.502107:0.000000
2:@0.462555:0.529606:0.471051:0.529606:0.471051:0.513108:0.462555:0.513108:0.000000
=:@0.506426:0.518605:0.517234:0.518605:0.517234:0.502107:0.506426:0.502107:0.000000
4:@0.603792:0.509293:0.612288:0.509293:0.612288:0.492795:0.603792:0.492795:0.000000
2:@0.567048:0.529606:0.575544:0.529606:0.575544:0.513108:0.567048:0.513108:0.000000
.:@0.633796:0.518605:0.636551:0.518605:0.636551:0.502107:0.633796:0.502107:0.000000
2:@0.416120:0.520823:0.421038:0.520823:0.421038:0.511275:0.416120:0.511275:0.000000
2:@0.580348:0.501257:0.585266:0.501257:0.585266:0.491708:0.580348:0.491708:0.000000
x:@0.407954:0.518720:0.415428:0.518720:0.415428:0.502252:0.407954:0.502252:0.000000
b:@0.452514:0.509409:0.461781:0.509409:0.461781:0.492940:0.452514:0.492940:0.000000
d:@0.490987:0.509409:0.500157:0.509409:0.500157:0.492940:0.490987:0.492940:0.000000
a:@0.471717:0.529722:0.480694:0.529722:0.480694:0.513253:0.471717:0.513253:0.000000
b:@0.532759:0.509409:0.542025:0.509409:0.542025:0.492940:0.532759:0.492940:0.000000
b:@0.570827:0.509409:0.580094:0.509409:0.580094:0.492940:0.570827:0.492940:0.000000
ac:@0.612960:0.509409:0.628931:0.509409:0.628931:0.492940:0.612960:0.492940:0.000000:0.000000
a:@0.576210:0.529722:0.585187:0.529722:0.585187:0.513253:0.576210:0.513253:0.000000
−+:@0.441353:0.509929:0.474817:0.509929:0.474817:0.493648:0.441353:0.493648:0.000000:0.000000
−+:@0.521612:0.509929:0.555076:0.509929:0.555076:0.493648:0.521612:0.493648:0.000000:0.000000
−:@0.590081:0.509929:0.600657:0.509929:0.600657:0.493648:0.590081:0.493648:0.000000
Los números reales  ,   son soluciones de la ecuación de segun-:@0.404236:0.549786:0.891758:0.549786:0.891758:0.533288:0.404236:0.533288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.551018:0.549902:0.580012:0.549901:0.580012:0.533433:0.551018:0.533433:0.000000:0.000000:0.000000
1:@0.558497:0.552457:0.563020:0.552457:0.563020:0.543675:0.558497:0.543675:0.000000
2:@0.580014:0.552457:0.584537:0.552457:0.584537:0.543675:0.580014:0.543675:0.000000
do grado, pues  ()=( )=0.   Además   ≠  . Por lo tanto, si :@0.404234:0.567758:0.895885:0.567765:0.895885:0.551267:0.404234:0.551260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.549106:0.568727:0.554023:0.568727:0.554023:0.559178:0.549106:0.559178:0.000000
2:@0.602295:0.568727:0.607212:0.568727:0.607212:0.559178:0.602295:0.559178:0.000000
fx:@0.527589:0.566623:0.548877:0.566623:0.548877:0.550155:0.527589:0.550155:0.000000:0.000000
fx:@0.580299:0.566623:0.601587:0.566623:0.601587:0.550155:0.580299:0.550155:0.000000:0.000000
x:@0.724362:0.567881:0.731837:0.567881:0.731837:0.551412:0.724362:0.551412:0.000000
1:@0.731858:0.570436:0.736380:0.570436:0.736380:0.561654:0.731858:0.561654:0.000000
x:@0.760750:0.567881:0.768225:0.567881:0.768225:0.551412:0.760750:0.551412:0.000000
2:@0.768239:0.570436:0.772761:0.570436:0.772761:0.561654:0.768239:0.561654:0.000000
=:@0.417943:0.587002:0.428751:0.587002:0.428751:0.570504:0.417943:0.570504:0.000000
4 >0,  el conjunto solución   está definido como::@0.464180:0.587002:0.825915:0.587002:0.825915:0.570504:0.464180:0.570504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.440716:0.578966:0.445634:0.578966:0.445634:0.569417:0.440716:0.569417:0.000000
db:@0.405536:0.587117:0.440464:0.587117:0.440464:0.570649:0.405536:0.570649:0.000000:0.000000
ac:@0.473331:0.587117:0.489302:0.587117:0.489302:0.570649:0.473331:0.570649:0.000000:0.000000
−:@0.450463:0.587638:0.461039:0.587638:0.461039:0.571357:0.450463:0.571357:0.000000
S:@0.672895:0.587117:0.680775:0.587117:0.680775:0.570649:0.672895:0.570649:0.000000
=:@0.522726:0.606238:0.533534:0.606238:0.533534:0.589741:0.522726:0.589741:0.000000
|:@0.586706:0.606238:0.591715:0.606238:0.591715:0.589741:0.586706:0.589741:0.000000
=0 =:@0.678678:0.606238:0.723470:0.606238:0.723470:0.589741:0.678678:0.589741:0.000000:0.000000:0.000000:0.000000
,:@0.750615:0.606238:0.753370:0.606238:0.753370:0.589741:0.750615:0.589741:0.000000
.:@0.781034:0.606238:0.783789:0.606238:0.783789:0.589741:0.781034:0.589741:0.000000
2:@0.611410:0.598203:0.616327:0.598203:0.616327:0.588654:0.611410:0.588654:0.000000
1:@0.743434:0.608455:0.748352:0.608455:0.748352:0.598906:0.743434:0.598906:0.000000
2:@0.763695:0.608455:0.768613:0.608455:0.768613:0.598906:0.763695:0.598906:0.000000
S:@0.512309:0.606354:0.520189:0.606354:0.520189:0.589885:0.512309:0.589885:0.000000
x:@0.545812:0.606354:0.553286:0.606354:0.553286:0.589885:0.545812:0.589885:0.000000
ax:@0.593917:0.606354:0.610177:0.606354:0.610177:0.589885:0.593917:0.589885:0.000000:0.000000
bx c:@0.634432:0.606354:0.675448:0.606354:0.675448:0.589885:0.634432:0.589885:0.000000:0.000000:0.000000:0.000000
x x:@0.735749:0.606354:0.763007:0.606354:0.763007:0.589885:0.735749:0.589885:0.000000:0.000000:0.000000
{:@0.535553:0.611448:0.544801:0.611448:0.544801:0.584748:0.535553:0.584748:0.000000
}:@0.701042:0.611448:0.710289:0.611448:0.710289:0.584748:0.701042:0.584748:0.000000
{:@0.725483:0.609752:0.734731:0.609752:0.734731:0.586633:0.725483:0.586633:0.000000
}:@0.770815:0.609752:0.780062:0.609752:0.780062:0.586633:0.770815:0.586633:0.000000
∈:@0.557016:0.606875:0.570752:0.606875:0.570752:0.590594:0.557016:0.590594:0.000000
+:@0.621150:0.606875:0.631727:0.606875:0.631727:0.590594:0.621150:0.590594:0.000000
+:@0.654537:0.606875:0.665114:0.606875:0.665114:0.590594:0.654537:0.590594:0.000000
Por comodidad, se utiliza la fórmula  =:@0.404235:0.646849:0.695236:0.646849:0.695236:0.630352:0.404235:0.630351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.782161:0.637538:0.790657:0.637538:0.790657:0.621040:0.782161:0.621040:0.000000
2:@0.745261:0.657851:0.753757:0.657851:0.753757:0.641353:0.745261:0.641353:0.000000
,  para pos-:@0.812899:0.646849:0.891775:0.646850:0.891775:0.630352:0.812899:0.630352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.758715:0.629501:0.763633:0.629501:0.763633:0.619952:0.758715:0.619952:0.000000
x:@0.673226:0.646965:0.680701:0.646965:0.680701:0.630496:0.673226:0.630496:0.000000
b:@0.710755:0.637653:0.720021:0.637653:0.720021:0.621185:0.710755:0.621185:0.000000
b:@0.749189:0.637653:0.758456:0.637653:0.758456:0.621185:0.749189:0.621185:0.000000
ac:@0.791322:0.637653:0.807293:0.637653:0.807293:0.621185:0.791322:0.621185:0.000000:0.000000
a:@0.754422:0.657966:0.763399:0.657966:0.763399:0.641498:0.754422:0.641498:0.000000
−±:@0.699611:0.638174:0.733441:0.638174:0.733441:0.621893:0.699611:0.621893:0.000000:0.000000
−:@0.768446:0.638174:0.779022:0.638174:0.779022:0.621893:0.768446:0.621893:0.000000
teriormente determinar si la ecuación de segundo grado tiene o no :@0.404248:0.671994:0.895917:0.671994:0.895917:0.655496:0.404248:0.655496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución en  , según  ≥ 0  o   < 0. Para su representación gráfica, :@0.404248:0.689344:0.895932:0.689344:0.895932:0.672847:0.404248:0.672847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.492229:0.688376:0.506138:0.688376:0.506138:0.674929:0.492229:0.674929:0.000000
d :@0.560946:0.689460:0.574258:0.689460:0.574258:0.672991:0.560946:0.672991:0.000000:0.000000
d :@0.628881:0.689460:0.642193:0.689460:0.642193:0.672991:0.628881:0.672991:0.000000:0.000000
observa la figura 3.8.:@0.404248:0.706695:0.546906:0.706695:0.546906:0.690198:0.404248:0.690198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.404248:0.731550:0.534903:0.731550:0.534903:0.714763:0.404248:0.714763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404248:0.755870:0.416520:0.755870:0.416520:0.739156:0.404248:0.739156:0.000000:0.000000
   Considera la ecuación   +   + 1 = 0  en el conjunto  . Puesto que:@0.416520:0.755653:0.891831:0.755654:0.891831:0.739156:0.416520:0.739156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.586552:0.755769:0.594026:0.755769:0.594026:0.739300:0.586552:0.739300:0.000000
2:@0.594009:0.749302:0.598962:0.749302:0.598962:0.739684:0.594009:0.739684:0.000000
x:@0.617400:0.755769:0.624874:0.755769:0.624874:0.739301:0.617400:0.739301:0.000000
R:@0.792424:0.754685:0.806334:0.754685:0.806334:0.741238:0.792424:0.741238:0.000000
++:@0.423905:0.786842:0.459816:0.786842:0.459816:0.770561:0.423905:0.770561:0.000000:0.000000
x:@0.405738:0.786322:0.413213:0.786322:0.413213:0.769853:0.405738:0.769853:0.000000
x:@0.438354:0.786322:0.445829:0.786322:0.445829:0.769853:0.438354:0.769853:0.000000
1= 0   :@0.461761:0.786206:0.521382:0.786206:0.521382:0.769708:0.461761:0.769708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.414430:0.778170:0.419348:0.778170:0.419348:0.768622:0.414430:0.768622:0.000000
⇔:@0.497165:0.786755:0.517239:0.786755:0.517239:0.767915:0.497165:0.767915:0.000000
+:@0.539642:0.788100:0.550219:0.788100:0.550219:0.771819:0.539642:0.771819:0.000000
−:@0.579059:0.788100:0.589636:0.788100:0.589636:0.771819:0.579059:0.771819:0.000000
x:@0.521475:0.787579:0.528950:0.787579:0.528950:0.771110:0.521475:0.771110:0.000000
x:@0.554091:0.787579:0.561566:0.787579:0.561566:0.771110:0.554091:0.771110:0.000000
=1   :@0.565342:0.787463:0.624265:0.786206:0.624265:0.769708:0.565342:0.770966:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.530167:0.779428:0.535085:0.779428:0.535085:0.769879:0.530167:0.769879:0.000000
⇔:@0.600048:0.786755:0.620123:0.786755:0.620123:0.767915:0.600048:0.767915:0.000000
++:@0.642645:0.788100:0.678555:0.788100:0.678555:0.771819:0.642645:0.771819:0.000000:0.000000
−+:@0.710131:0.788100:0.740454:0.788100:0.740454:0.771819:0.710131:0.771819:0.000000:0.000000
x:@0.624477:0.787579:0.631952:0.787579:0.631952:0.771110:0.624477:0.771110:0.000000
x:@0.657094:0.787579:0.664568:0.787579:0.664568:0.771110:0.657094:0.771110:0.000000
1:@0.683641:0.778152:0.692137:0.778152:0.692137:0.761654:0.683641:0.761654:0.000000
4:@0.683217:0.798426:0.691713:0.798426:0.691713:0.781928:0.683217:0.781928:0.000000
=1:@0.696410:0.787463:0.729045:0.787463:0.729045:0.770966:0.696410:0.770966:0.000000:0.000000
1:@0.745517:0.778152:0.754013:0.778152:0.754013:0.761654:0.745517:0.761654:0.000000
4:@0.745096:0.798426:0.753592:0.798426:0.753592:0.781928:0.745096:0.781928:0.000000
2:@0.633169:0.779428:0.638087:0.779428:0.638087:0.769879:0.633169:0.769879:0.000000
   :@0.756760:0.786206:0.783366:0.786206:0.783366:0.769708:0.756760:0.769708:0.000000:0.000000:0.000000
⇔:@0.759149:0.786755:0.779224:0.786755:0.779224:0.767915:0.759149:0.767915:0.000000
x:@0.789308:0.785416:0.796709:0.785416:0.796709:0.769112:0.789308:0.769112:0.000000
+:@0.799054:0.785931:0.809525:0.785931:0.809525:0.769813:0.799054:0.769813:0.000000
b:@0.817040:0.776670:0.826214:0.776670:0.826214:0.760366:0.817040:0.760366:0.000000
2:@0.812730:0.796553:0.821141:0.796553:0.821141:0.780220:0.812730:0.780220:0.000000
a:@0.821808:0.796667:0.830696:0.796667:0.830696:0.780363:0.821808:0.780363:0.000000
2:@0.839788:0.766222:0.844657:0.766222:0.844657:0.756769:0.839788:0.756769:0.000000
=:@0.849326:0.785302:0.860025:0.785302:0.860025:0.768969:0.849326:0.768969:0.000000
d:@0.871965:0.776670:0.881043:0.776670:0.881043:0.760366:0.871965:0.760366:0.000000
4:@0.864240:0.796553:0.872651:0.796553:0.872651:0.780220:0.864240:0.780220:0.000000
a:@0.873319:0.796667:0.882207:0.796667:0.882207:0.780363:0.873319:0.780363:0.000000
2:@0.882340:0.788588:0.887208:0.788588:0.887208:0.779135:0.882340:0.779135:0.000000
El primer miembro de la última igualdad es no negativo, mientras :@0.404236:0.814249:0.895978:0.814249:0.895978:0.797751:0.404236:0.797751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el segundo miembro es negativo. Por tanto, la ecuación no tiene :@0.404236:0.831600:0.895959:0.831600:0.895959:0.815102:0.404236:0.815102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución en   o, lo que es lo mismo, el conjunto solución S = 0,  pues :@0.404236:0.848950:0.895839:0.848950:0.895839:0.832453:0.404236:0.832453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.490022:0.847982:0.503932:0.847982:0.503932:0.834535:0.490022:0.834535:0.000000
no existe un número real cuyo cuadrado sea :@0.404236:0.870697:0.718142:0.870697:0.718142:0.854199:0.404236:0.854199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.732982:0.864593:0.740628:0.864593:0.740628:0.849745:0.732982:0.849745:0.000000
4:@0.732982:0.882875:0.740628:0.882875:0.740628:0.868027:0.732982:0.868027:0.000000
.:@0.743536:0.872973:0.746015:0.872973:0.746015:0.858125:0.743536:0.858125:0.000000
−:@0.720267:0.873546:0.729786:0.873546:0.729786:0.858893:0.720267:0.858893:0.000000
 Nótese que :@0.749237:0.870702:0.838435:0.870702:0.838435:0.854204:0.749237:0.854204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.837838:0.871251:0.851574:0.871251:0.851574:0.852411:0.837838:0.852411:0.000000
x:@0.851574:0.870817:0.859049:0.870817:0.859049:0.854349:0.851574:0.854349:0.000000
:@0.859049:0.870485:0.875097:0.870485:0.875097:0.855838:0.859049:0.855838:0.000000
R:@0.875097:0.869733:0.889006:0.869733:0.889006:0.856286:0.875097:0.856286:0.000000
, :@0.889006:0.870702:0.895903:0.870702:0.895903:0.854204:0.889006:0.854204:0.000000:0.000000
x:@0.415316:0.898233:0.422791:0.898233:0.422791:0.881764:0.415316:0.881764:0.000000
+:@0.425161:0.898753:0.435737:0.898753:0.435737:0.882473:0.425161:0.882473:0.000000
1:@0.439610:0.889283:0.448106:0.889283:0.448106:0.872785:0.439610:0.872785:0.000000
2:@0.438979:0.909473:0.447475:0.909473:0.447475:0.892975:0.438979:0.892975:0.000000
2:@0.457145:0.878845:0.462063:0.878845:0.462063:0.869296:0.457145:0.869296:0.000000
+:@0.465521:0.898753:0.476098:0.898753:0.476098:0.882473:0.465521:0.882473:0.000000
3:@0.479547:0.889283:0.488043:0.889283:0.488043:0.872785:0.479547:0.872785:0.000000
2:@0.479342:0.909473:0.487838:0.909473:0.487838:0.892975:0.479342:0.892975:0.000000
>0 , con lo cual   ()=:@0.491592:0.898117:0.658041:0.896854:0.658041:0.880356:0.491592:0.881619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1>0 ,  :@0.717917:0.896854:0.762346:0.896854:0.762346:0.880356:0.717917:0.880356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.670320:0.888818:0.675237:0.888818:0.675237:0.879269:0.670320:0.879269:0.000000
fx:@0.616712:0.896969:0.638000:0.896969:0.638000:0.880500:0.616712:0.880500:0.000000:0.000000
x:@0.661638:0.896969:0.669113:0.896969:0.669113:0.880500:0.661638:0.880500:0.000000
x:@0.694524:0.896969:0.701999:0.896969:0.701999:0.880500:0.694524:0.880500:0.000000
++:@0.680075:0.897490:0.715986:0.897490:0.715986:0.881209:0.680075:0.881209:0.000000:0.000000
∀:@0.762346:0.897403:0.776082:0.897403:0.776082:0.878563:0.762346:0.878563:0.000000
x:@0.776082:0.896969:0.783557:0.896969:0.783557:0.880500:0.776082:0.880500:0.000000
:@0.783557:0.896637:0.799605:0.896637:0.799605:0.881990:0.783557:0.881990:0.000000
R:@0.799605:0.895885:0.813514:0.895885:0.813514:0.882438:0.799605:0.882438:0.000000
. :@0.813514:0.896854:0.820411:0.896854:0.820411:0.880356:0.813514:0.880356:0.000000:0.000000
En este caso, la gráfica de   no corta al eje  .:@0.404243:0.930384:0.709573:0.930384:0.709573:0.913886:0.404243:0.913886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.586219:0.930500:0.590515:0.930500:0.590515:0.914031:0.586219:0.914031:0.000000
x:@0.699343:0.930500:0.706818:0.930500:0.706818:0.914031:0.699343:0.914031:0.000000
y:@0.242428:0.438903:0.247012:0.438903:0.247012:0.429301:0.242428:0.429301:0.000000
x:@0.356370:0.496531:0.360811:0.496531:0.360811:0.486929:0.356370:0.486929:0.000000
0:@0.246362:0.496531:0.251244:0.496531:0.251244:0.486929:0.246362:0.486929:0.000000
y = ax +bx+c:@0.288875:0.465856:0.344111:0.465858:0.344111:0.456256:0.288875:0.456254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.314520:0.462134:0.317366:0.462134:0.317366:0.456536:0.314520:0.456536:0.000000
x:@0.207204:0.496070:0.211645:0.496070:0.211645:0.486468:0.207204:0.486468:0.000000
1:@0.211642:0.497854:0.214488:0.497854:0.214488:0.492256:0.211642:0.492256:0.000000
x:@0.316204:0.496070:0.320645:0.496070:0.320645:0.486468:0.316204:0.486468:0.000000
2:@0.320645:0.497854:0.323491:0.497854:0.323491:0.492256:0.320645:0.492256:0.000000
a > 0:@0.244720:0.752768:0.266186:0.752768:0.266186:0.743166:0.244720:0.743166:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.244720:0.609570:0.249304:0.609570:0.249304:0.599968:0.244720:0.599968:0.000000
x:@0.354508:0.718045:0.358949:0.718045:0.358949:0.708443:0.354508:0.708443:0.000000
0:@0.246362:0.715555:0.251243:0.715555:0.251243:0.705953:0.246362:0.705953:0.000000
y = ax +bx+c:@0.165489:0.630908:0.220718:0.630908:0.220718:0.621306:0.165489:0.621306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.191127:0.627185:0.193973:0.627185:0.193973:0.621587:0.191127:0.621587:0.000000
x:@0.207583:0.718789:0.212024:0.718789:0.212024:0.709187:0.207583:0.709187:0.000000
1:@0.212019:0.720575:0.214865:0.720575:0.214865:0.714977:0.212019:0.714977:0.000000
x:@0.296143:0.718789:0.300584:0.718789:0.300584:0.709187:0.296143:0.709187:0.000000
2:@0.300584:0.720575:0.303430:0.720575:0.303430:0.714977:0.300584:0.714977:0.000000
p:@0.308064:0.876434:0.319544:0.876434:0.319544:0.866410:0.308064:0.866410:0.000000
 :@0.319544:0.877142:0.322426:0.877142:0.322426:0.865666:0.319544:0.865666:0.000000
Figura 3.8.:@0.322426:0.877142:0.370994:0.877142:0.370994:0.865666:0.322426:0.865666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa que, en el caso de que la ecuación :@0.152034:0.772173:0.361661:0.772173:0.361661:0.760696:0.152034:0.760696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de segundo grado no tenga raíces reales,  :@0.152034:0.784243:0.351629:0.784243:0.351629:0.772766:0.152034:0.772766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la gráfica de   no corta al eje   (primer :@0.152034:0.796313:0.335640:0.796313:0.335640:0.784836:0.152034:0.784836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.212060:0.796393:0.215048:0.796393:0.215048:0.784937:0.212060:0.784937:0.000000
x:@0.288343:0.796393:0.293543:0.796393:0.293543:0.784937:0.288343:0.784937:0.000000
caso). En los casos en los que la ecuación :@0.152034:0.808383:0.355940:0.808383:0.355940:0.796906:0.152034:0.796906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de segundo grado tiene solución en  ,  :@0.152034:0.820453:0.349547:0.820453:0.349547:0.808976:0.152034:0.808976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.332192:0.819779:0.341868:0.819779:0.341868:0.810425:0.332192:0.810425:0.000000
la gráfica de la función cuadrática   corta :@0.152034:0.832523:0.355149:0.832523:0.355149:0.821046:0.152034:0.821046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.320373:0.832604:0.323361:0.832604:0.323361:0.821147:0.320373:0.821147:0.000000
al eje   en un punto o en dos puntos :@0.152034:0.844593:0.336120:0.844593:0.336120:0.833117:0.152034:0.833117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.179709:0.844674:0.184909:0.844674:0.184909:0.833217:0.179709:0.833217:0.000000
distintos (segundo y tercer casos).:@0.152034:0.856663:0.319032:0.856663:0.319032:0.845187:0.152034:0.845187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación de segundo grado tiene dos :@0.157555:0.409195:0.360162:0.409195:0.360162:0.397718:0.157555:0.397718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones reales y distintas.:@0.188929:0.421265:0.325908:0.421265:0.325908:0.409788:0.188929:0.409788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000