133:@0.918240:0.967835:0.943652:0.967835:0.943652:0.951847:0.918240:0.951847:0.000000:0.000000:0.000000
2.:@0.108233:0.096411:0.120505:0.096411:0.120505:0.079697:0.108233:0.079697:0.000000:0.000000
   En la figura 3.12. se muestran las gráficas de la parábola   y de la :@0.120506:0.096194:0.600014:0.096194:0.600014:0.079697:0.120506:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.534378:0.096310:0.543162:0.096310:0.543162:0.079841:0.534378:0.079841:0.000000
recta  . Se observa que estas dos gráficas se cortan en un punto de :@0.131680:0.113545:0.599954:0.113545:0.599954:0.097047:0.131680:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.170981:0.113661:0.178822:0.113661:0.178822:0.097192:0.170981:0.097192:0.000000
abscisa  , es decir que :@0.131680:0.132775:0.289036:0.132775:0.289036:0.116278:0.131680:0.116278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.185428:0.132891:0.192903:0.132891:0.192903:0.116422:0.185428:0.116422:0.000000
( ):@0.291188:0.134460:0.329795:0.134460:0.329795:0.112480:0.291188:0.112480:0.000000:0.000000:0.000000
∈∩:@0.332179:0.132161:0.371538:0.132161:0.371538:0.115880:0.332179:0.115880:0.000000:0.000000
,:@0.308935:0.131524:0.311690:0.131524:0.311690:0.115027:0.308935:0.115027:0.000000
,  más aún, :@0.382760:0.131524:0.460510:0.132782:0.460510:0.116284:0.382760:0.115027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.299460:0.131640:0.321962:0.131640:0.321962:0.115171:0.299460:0.115171:0.000000:0.000000
P:@0.345424:0.131640:0.354208:0.131640:0.354208:0.115171:0.345424:0.115171:0.000000
L:@0.373647:0.131640:0.381488:0.131640:0.381488:0.115171:0.373647:0.115171:0.000000
{:@0.514954:0.137572:0.524202:0.137572:0.524202:0.112011:0.514954:0.112011:0.000000
}:@0.561711:0.137572:0.570959:0.137572:0.570959:0.112011:0.561711:0.112011:0.000000
( ):@0.523644:0.135717:0.562251:0.135717:0.562251:0.113738:0.523644:0.113738:0.000000:0.000000:0.000000
∩:@0.474382:0.133418:0.489178:0.133418:0.489178:0.117137:0.474382:0.117137:0.000000
=:@0.502124:0.132782:0.512932:0.132782:0.512932:0.116284:0.502124:0.116284:0.000000
,:@0.541386:0.132782:0.544141:0.132782:0.544141:0.116284:0.541386:0.116284:0.000000
.:@0.571903:0.132782:0.574657:0.132782:0.574657:0.116284:0.571903:0.116284:0.000000
P:@0.463073:0.132897:0.471858:0.132897:0.471858:0.116429:0.463073:0.116429:0.000000
L:@0.491297:0.132897:0.499138:0.132897:0.499138:0.116429:0.491297:0.116429:0.000000
xy:@0.531908:0.132897:0.554410:0.132897:0.554410:0.116429:0.531908:0.116429:0.000000:0.000000
 :@0.108233:0.180402:0.112375:0.180402:0.112375:0.163904:0.108233:0.163904:0.000000
  Este punto es solución del sistema de ecuaciones :@0.131687:0.180402:0.474231:0.180402:0.474231:0.163904:0.131687:0.163904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.507963:0.192599:0.520119:0.192599:0.524892:0.176318:0.512735:0.176318:0.000000
β:@0.544759:0.192599:0.555336:0.192599:0.560109:0.176318:0.549532:0.176318:0.000000
+:@0.536558:0.170596:0.547135:0.170596:0.547135:0.154315:0.536558:0.154315:0.000000
+:@0.568346:0.170596:0.578923:0.170596:0.578923:0.154315:0.568346:0.154315:0.000000
+:@0.533102:0.192599:0.543679:0.192599:0.543679:0.176318:0.533102:0.176318:0.000000
=:@0.496719:0.169960:0.507527:0.169960:0.507527:0.153462:0.496719:0.153462:0.000000
,:@0.589963:0.169960:0.592718:0.169960:0.592718:0.153462:0.589963:0.153462:0.000000
=:@0.496719:0.191967:0.507527:0.191967:0.507527:0.175469:0.496719:0.175469:0.000000
,:@0.559543:0.191967:0.562298:0.191967:0.562298:0.175469:0.559543:0.175469:0.000000
2:@0.527921:0.161923:0.532838:0.161923:0.532838:0.152374:0.527921:0.152374:0.000000
yax:@0.485464:0.170076:0.526710:0.170076:0.526710:0.153607:0.485464:0.153607:0.000000:0.000000:0.000000
bxc:@0.549077:0.170076:0.588454:0.170076:0.588454:0.153607:0.549077:0.153607:0.000000:0.000000:0.000000
y:@0.485464:0.192079:0.493150:0.192079:0.493150:0.175610:0.485464:0.175610:0.000000
x:@0.523050:0.192079:0.530525:0.192079:0.530525:0.175610:0.523050:0.175610:0.000000
  :@0.595776:0.180396:0.599918:0.180396:0.599918:0.163898:0.595776:0.163898:0.000000:0.000000
 :@0.108241:0.212009:0.112383:0.212009:0.112383:0.195512:0.108241:0.195512:0.000000
del que, procediendo del mismo modo que el anterior, se obtiene::@0.131686:0.212009:0.595798:0.212009:0.595798:0.195512:0.131686:0.195512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108241:0.248590:0.112383:0.248590:0.112383:0.232093:0.108241:0.232093:0.000000
x:@0.144175:0.248960:0.151711:0.248960:0.151711:0.232357:0.144175:0.232357:0.000000
+:@0.154100:0.249484:0.164763:0.249484:0.164763:0.233071:0.154100:0.233071:0.000000
=:@0.182175:0.248843:0.193071:0.248843:0.193071:0.232211:0.182175:0.232211:0.000000
ax:@0.195848:0.248960:0.212260:0.248960:0.212260:0.232357:0.195848:0.232357:0.000000:0.000000
2:@0.213473:0.240742:0.218431:0.240742:0.218431:0.231115:0.213473:0.231115:0.000000
+:@0.221918:0.249484:0.232581:0.249484:0.232581:0.233071:0.221918:0.233071:0.000000
bx c:@0.234329:0.248960:0.273601:0.248960:0.273601:0.232357:0.234329:0.232357:0.000000:0.000000:0.000000:0.000000
+:@0.253538:0.249484:0.264201:0.249484:0.264201:0.233071:0.253538:0.233071:0.000000
x:@0.314122:0.248960:0.321658:0.248960:0.321658:0.232357:0.314122:0.232357:0.000000
+:@0.324046:0.249484:0.334709:0.249484:0.334709:0.233071:0.324046:0.233071:0.000000
b:@0.337972:0.240053:0.347315:0.240053:0.347315:0.223450:0.337972:0.223450:0.000000
2:@0.347213:0.260291:0.355778:0.260291:0.355778:0.243659:0.347213:0.243659:0.000000
a:@0.356458:0.260407:0.365509:0.260407:0.365509:0.243804:0.356458:0.243804:0.000000
2:@0.383947:0.229412:0.388905:0.229412:0.388905:0.219786:0.383947:0.219786:0.000000
=:@0.393659:0.248843:0.404555:0.248843:0.404555:0.232211:0.393659:0.232211:0.000000
b:@0.415975:0.240053:0.425317:0.240053:0.425317:0.223450:0.415975:0.223450:0.000000
2:@0.425220:0.260291:0.433786:0.260291:0.433786:0.243659:0.425220:0.243659:0.000000
a:@0.434465:0.260407:0.443516:0.260407:0.443516:0.243804:0.434465:0.243804:0.000000
2:@0.461953:0.229412:0.466911:0.229412:0.466911:0.219786:0.461953:0.219786:0.000000
c:@0.485175:0.240047:0.492420:0.240047:0.492420:0.223444:0.485175:0.223444:0.000000
a:@0.498160:0.260407:0.507211:0.260407:0.507211:0.243804:0.498160:0.243804:0.000000
.:@0.522965:0.248843:0.525743:0.248843:0.525743:0.232211:0.522965:0.232211:0.000000
 :@0.528718:0.248597:0.532860:0.248597:0.532860:0.232099:0.528718:0.232099:0.000000
 :@0.108235:0.283761:0.112377:0.283761:0.112377:0.267263:0.108235:0.267263:0.000000
 De esta última igualdad, y para que exista un punto de corte, se :@0.131681:0.283761:0.599939:0.283761:0.599939:0.267263:0.131681:0.267263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe verificar que::@0.131681:0.301112:0.261394:0.301112:0.261394:0.284614:0.131681:0.284614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108235:0.335032:0.112377:0.335032:0.112377:0.318535:0.108235:0.318535:0.000000
α:@0.170006:0.323716:0.182628:0.323716:0.188363:0.304154:0.175741:0.304154:0.000000
β:@0.247799:0.323716:0.258781:0.323716:0.264515:0.304154:0.253534:0.304154:0.000000
α:@0.312640:0.322649:0.325262:0.322649:0.330996:0.303087:0.318374:0.303087:0.000000
β:@0.411036:0.322649:0.422018:0.322649:0.427752:0.303087:0.416770:0.303087:0.000000
(:@0.281349:0.325074:0.288010:0.325074:0.288010:0.298665:0.281349:0.298665:0.000000
):@0.329617:0.325074:0.336279:0.325074:0.336279:0.298665:0.329617:0.298665:0.000000
(:@0.379746:0.325074:0.386408:0.325074:0.386408:0.298665:0.379746:0.298665:0.000000
):@0.425954:0.325074:0.432616:0.325074:0.432616:0.298665:0.425954:0.298665:0.000000
−:@0.158283:0.323770:0.169264:0.323770:0.169264:0.304208:0.158283:0.304208:0.000000
−:@0.208511:0.333438:0.219493:0.333438:0.219493:0.313876:0.208511:0.313876:0.000000
−:@0.234816:0.323770:0.245798:0.323770:0.245798:0.304208:0.234816:0.304208:0.000000
−:@0.300908:0.322719:0.311890:0.322719:0.311890:0.303157:0.300908:0.303157:0.000000
−:@0.346236:0.322719:0.357218:0.322719:0.357218:0.303157:0.346236:0.303157:0.000000
−:@0.398045:0.322719:0.409027:0.322719:0.409027:0.303157:0.398045:0.303157:0.000000
2:@0.156862:0.344293:0.165684:0.344293:0.165684:0.327163:0.156862:0.327163:0.000000
=:@0.266442:0.332868:0.277664:0.332868:0.277664:0.315738:0.266442:0.315738:0.000000
4:@0.360478:0.322148:0.369300:0.322148:0.369300:0.305018:0.360478:0.305018:0.000000
4:@0.343955:0.344293:0.352777:0.344293:0.352777:0.327163:0.343955:0.327163:0.000000
=0:@0.436632:0.332868:0.459636:0.332868:0.459636:0.315738:0.436632:0.315738:0.000000:0.000000
2:@0.194439:0.316209:0.199545:0.316209:0.199545:0.306294:0.194439:0.306294:0.000000
2:@0.336143:0.311386:0.341249:0.311386:0.341249:0.301472:0.336143:0.301472:0.000000
2:@0.362947:0.335943:0.368053:0.335943:0.368053:0.326028:0.362947:0.326028:0.000000
b:@0.146107:0.323319:0.155729:0.323319:0.155729:0.306219:0.146107:0.306219:0.000000
a:@0.166391:0.344413:0.175712:0.344413:0.175712:0.327313:0.166391:0.327313:0.000000
c:@0.224341:0.323319:0.231802:0.323319:0.231802:0.306219:0.224341:0.306219:0.000000
a:@0.238583:0.344413:0.247905:0.344413:0.247905:0.327313:0.238583:0.327313:0.000000
b:@0.288752:0.322268:0.298374:0.322268:0.298374:0.305168:0.288752:0.305168:0.000000
a c:@0.370026:0.322268:0.395031:0.322268:0.395031:0.305168:0.370026:0.305168:0.000000:0.000000:0.000000
a:@0.353483:0.344413:0.362805:0.344413:0.362805:0.327313:0.353483:0.327313:0.000000
(:@0.131686:0.343489:0.148014:0.343489:0.148014:0.295539:0.131686:0.295539:0.000000
(:@0.198976:0.304527:0.182648:0.304527:0.182648:0.352478:0.198976:0.352478:0.000000
, con lo que:@0.464860:0.335036:0.547448:0.335036:0.547448:0.318538:0.464860:0.318538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108241:0.352387:0.112383:0.352387:0.112383:0.335889:0.108241:0.335889:0.000000
 :@0.108240:0.413157:0.112382:0.413157:0.112382:0.396660:0.108240:0.396660:0.000000
x:@0.144922:0.390779:0.152397:0.390779:0.152397:0.374310:0.144922:0.374310:0.000000
=:@0.156019:0.390663:0.166827:0.390663:0.166827:0.374165:0.156019:0.374165:0.000000
b:@0.182039:0.381938:0.191306:0.381938:0.191306:0.365470:0.182039:0.365470:0.000000
2:@0.191201:0.402018:0.199697:0.402018:0.199697:0.385520:0.191201:0.385520:0.000000
a:@0.200371:0.402133:0.209349:0.402133:0.209349:0.385665:0.200371:0.385665:0.000000
,:@0.221878:0.390663:0.224633:0.390663:0.224633:0.374165:0.221878:0.374165:0.000000
y:@0.145337:0.431755:0.153024:0.431755:0.153024:0.415287:0.145337:0.415287:0.000000
=:@0.156434:0.431640:0.167242:0.431640:0.167242:0.415142:0.156434:0.415142:0.000000
b:@0.203713:0.422918:0.212980:0.422918:0.212980:0.406449:0.203713:0.406449:0.000000
2:@0.212874:0.442998:0.221370:0.442998:0.221370:0.426500:0.212874:0.426500:0.000000
a:@0.222044:0.443114:0.231021:0.443114:0.231021:0.426645:0.222044:0.426645:0.000000
+:@0.250463:0.432280:0.261039:0.432280:0.261039:0.415999:0.250463:0.415999:0.000000
 y, en consecuencia, :@0.284408:0.413151:0.427391:0.413151:0.427391:0.396653:0.284408:0.396653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.429539:0.414829:0.468147:0.414829:0.468147:0.392850:0.429539:0.392850:0.000000:0.000000:0.000000
∈∩:@0.470530:0.412530:0.509889:0.412530:0.509889:0.396249:0.470530:0.396249:0.000000:0.000000
,:@0.447277:0.411894:0.450032:0.411894:0.450032:0.395396:0.447277:0.395396:0.000000
xy:@0.437799:0.412009:0.460301:0.412009:0.460301:0.395541:0.437799:0.395541:0.000000:0.000000
P:@0.483775:0.412009:0.492560:0.412009:0.492560:0.395541:0.483775:0.395541:0.000000
L:@0.511998:0.412009:0.519839:0.412009:0.519839:0.395541:0.511998:0.395541:0.000000
.:@0.522882:0.413151:0.525637:0.413151:0.525637:0.396653:0.522882:0.396653:0.000000
3.:@0.108236:0.479677:0.120508:0.479677:0.120508:0.462962:0.108236:0.462962:0.000000:0.000000
   En la figura 3.13. se muestran las gráficas de la parábola   y de la :@0.120508:0.479460:0.600016:0.479460:0.600016:0.462962:0.120508:0.462962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.534379:0.479575:0.543164:0.479575:0.543164:0.463107:0.534379:0.463107:0.000000
recta  . Se observa que estas dos gráficas no se cortan.:@0.131681:0.496811:0.515572:0.496811:0.515572:0.480313:0.131681:0.480313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.171695:0.496926:0.179536:0.496926:0.179536:0.480457:0.171695:0.480457:0.000000
 :@0.108235:0.521290:0.112377:0.521290:0.112377:0.504793:0.108235:0.504793:0.000000
En este caso, procediendo de modo similar al precedente, se tiene::@0.131681:0.521290:0.595778:0.521290:0.595778:0.504793:0.131681:0.504793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108235:0.576566:0.112377:0.576566:0.112377:0.560068:0.108235:0.560068:0.000000
α:@0.164576:0.551551:0.176732:0.551551:0.181504:0.535270:0.169348:0.535270:0.000000
β:@0.239498:0.551551:0.250075:0.551551:0.254847:0.535270:0.244271:0.535270:0.000000
α:@0.301945:0.550530:0.314102:0.550530:0.318874:0.534249:0.306718:0.534249:0.000000
β:@0.396711:0.550530:0.407288:0.550530:0.412060:0.534249:0.401483:0.534249:0.000000
(:@0.271854:0.552829:0.278269:0.552829:0.278269:0.530850:0.271854:0.530850:0.000000
):@0.318341:0.552829:0.324756:0.552829:0.324756:0.530850:0.318341:0.530850:0.000000
(:@0.366609:0.552829:0.373024:0.552829:0.373024:0.530850:0.366609:0.530850:0.000000
):@0.411111:0.552829:0.417527:0.552829:0.417527:0.530850:0.411111:0.530850:0.000000
−:@0.153331:0.551551:0.163907:0.551551:0.163907:0.535270:0.153331:0.535270:0.000000
−:@0.201706:0.560862:0.212282:0.560862:0.212282:0.544582:0.201706:0.544582:0.000000
−:@0.227039:0.551551:0.237616:0.551551:0.237616:0.535270:0.227039:0.535270:0.000000
−:@0.290692:0.550524:0.301268:0.550524:0.301268:0.534244:0.290692:0.534244:0.000000
−:@0.334347:0.550524:0.344923:0.550524:0.344923:0.534244:0.334347:0.534244:0.000000
−:@0.384244:0.550524:0.394820:0.550524:0.394820:0.534244:0.384244:0.534244:0.000000
2:@0.151963:0.571230:0.160459:0.571230:0.160459:0.554732:0.151963:0.554732:0.000000
=:@0.257498:0.560226:0.268306:0.560226:0.268306:0.543729:0.257498:0.543729:0.000000
4:@0.348064:0.549888:0.356560:0.549888:0.356560:0.533390:0.348064:0.533390:0.000000
4:@0.332151:0.571230:0.340647:0.571230:0.340647:0.554732:0.332151:0.554732:0.000000
<0,:@0.420617:0.560226:0.444621:0.560226:0.444621:0.543729:0.420617:0.543729:0.000000:0.000000:0.000000
2:@0.191965:0.540757:0.196882:0.540757:0.196882:0.531208:0.191965:0.531208:0.000000
2:@0.324625:0.539535:0.329543:0.539535:0.329543:0.529986:0.324625:0.529986:0.000000
2:@0.350439:0.563185:0.355357:0.563185:0.355357:0.553636:0.350439:0.553636:0.000000
b:@0.141604:0.551030:0.150870:0.551030:0.150870:0.534562:0.141604:0.534562:0.000000
a:@0.161139:0.571345:0.170116:0.571345:0.170116:0.554876:0.161139:0.554876:0.000000
c:@0.216950:0.551030:0.224136:0.551030:0.224136:0.534562:0.216950:0.534562:0.000000
a:@0.230667:0.571345:0.239645:0.571345:0.239645:0.554876:0.230667:0.554876:0.000000
b:@0.278984:0.550004:0.288251:0.550004:0.288251:0.533535:0.278984:0.533535:0.000000
a c:@0.357259:0.550004:0.381341:0.550004:0.381341:0.533535:0.357259:0.533535:0.000000:0.000000:0.000000
a:@0.341327:0.571345:0.350304:0.571345:0.350304:0.554876:0.341327:0.554876:0.000000
 :@0.108233:0.614280:0.112375:0.614280:0.112375:0.597782:0.108233:0.597782:0.000000
  con lo que el sistema de ecuaciones :@0.131687:0.614280:0.388828:0.614280:0.388828:0.597782:0.131687:0.597782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.411502:0.605442:0.422748:0.605442:0.422748:0.588276:0.411502:0.588276:0.000000
,:@0.507984:0.605442:0.510851:0.605442:0.510851:0.588276:0.507984:0.588276:0.000000
=:@0.411502:0.628341:0.422748:0.628341:0.422748:0.611175:0.411502:0.611175:0.000000
,:@0.476812:0.628341:0.479679:0.628341:0.479679:0.611175:0.476812:0.611175:0.000000
2:@0.444130:0.597081:0.449247:0.597081:0.449247:0.587145:0.444130:0.587145:0.000000
yax:@0.399626:0.605563:0.442866:0.605563:0.442866:0.588426:0.399626:0.588426:0.000000:0.000000:0.000000
bxc:@0.465859:0.605563:0.506404:0.605563:0.506404:0.588426:0.465859:0.588426:0.000000:0.000000:0.000000
y:@0.399626:0.628457:0.407624:0.628457:0.407624:0.611321:0.399626:0.611321:0.000000
x:@0.439277:0.628457:0.447055:0.628457:0.447055:0.611321:0.439277:0.611321:0.000000
α:@0.423366:0.628999:0.436015:0.628999:0.440981:0.612058:0.428331:0.612058:0.000000
β:@0.461453:0.628999:0.472459:0.628999:0.477425:0.612058:0.466419:0.612058:0.000000
+:@0.453064:0.606104:0.464070:0.606104:0.464070:0.589164:0.453064:0.589164:0.000000
+:@0.485700:0.606104:0.496705:0.606104:0.496705:0.589164:0.485700:0.589164:0.000000
+:@0.449523:0.628999:0.460528:0.628999:0.460528:0.612058:0.449523:0.612058:0.000000
 :@0.108233:0.650326:0.112375:0.650326:0.112375:0.633828:0.108233:0.633828:0.000000
no tiene solución en el conjunto de los números reales. Entonces,  :@0.131680:0.650326:0.599883:0.650326:0.599883:0.633828:0.131680:0.633828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resulta :@0.131660:0.679244:0.183021:0.679244:0.183021:0.662746:0.131660:0.662746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.196920:0.679880:0.211716:0.679880:0.211716:0.663599:0.196920:0.663599:0.000000
∅:@0.237917:0.679880:0.253772:0.679880:0.253772:0.663599:0.237917:0.663599:0.000000
=.  :@0.224662:0.679244:0.264251:0.679244:0.264251:0.662746:0.224662:0.662746:0.000000:0.000000:0.000000:0.000000
P:@0.185612:0.679359:0.194396:0.679359:0.194396:0.662891:0.185612:0.662891:0.000000
L:@0.213835:0.679359:0.221676:0.679359:0.221676:0.662891:0.213835:0.662891:0.000000
Intersección gráfica de dos parábolas como solución de un :@0.108233:0.722470:0.600022:0.722470:0.600022:0.704788:0.108233:0.704788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de dos ecuaciones:@0.108233:0.740575:0.317359:0.740575:0.317359:0.722893:0.108233:0.722893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ahora, consideremos la :@0.108233:0.764412:0.284799:0.764412:0.284799:0.747914:0.108233:0.747914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intersección:@0.287766:0.764629:0.377752:0.764629:0.377752:0.747914:0.287766:0.747914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de dos parábolas designadas :@0.377754:0.764412:0.599900:0.764412:0.599900:0.747914:0.377754:0.747914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con   y  ::@0.108233:0.781763:0.184802:0.781763:0.184802:0.765265:0.108233:0.765265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.139327:0.781878:0.148112:0.781878:0.148112:0.765410:0.139327:0.765410:0.000000
1:@0.148112:0.784434:0.152635:0.784434:0.152635:0.775652:0.148112:0.775652:0.000000
P:@0.168739:0.781878:0.177524:0.781878:0.177524:0.765410:0.168739:0.765410:0.000000
2:@0.177524:0.784434:0.182047:0.784434:0.182047:0.775652:0.177524:0.775652:0.000000
{:@0.139592:0.820466:0.148839:0.820466:0.148839:0.793765:0.139592:0.793765:0.000000
}:@0.341569:0.820466:0.350816:0.820466:0.350816:0.793765:0.341569:0.793765:0.000000
( ):@0.148281:0.818190:0.186889:0.818190:0.186889:0.796211:0.148281:0.796211:0.000000:0.000000:0.000000
=:@0.125981:0.815891:0.136557:0.815891:0.136557:0.799610:0.125981:0.799610:0.000000
∈:@0.189267:0.815891:0.203003:0.815891:0.203003:0.799610:0.189267:0.799610:0.000000
+:@0.286961:0.815891:0.297538:0.815891:0.297538:0.799610:0.286961:0.799610:0.000000
+:@0.320367:0.815891:0.330944:0.815891:0.330944:0.799610:0.320367:0.799610:0.000000
,:@0.166029:0.815255:0.168784:0.815255:0.168784:0.798757:0.166029:0.798757:0.000000
| =:@0.226502:0.815255:0.256884:0.815255:0.256884:0.798757:0.226502:0.798757:0.000000:0.000000:0.000000
1:@0.116662:0.817474:0.121579:0.817474:0.121579:0.807925:0.116662:0.807925:0.000000
2:@0.217643:0.807222:0.222560:0.807222:0.222560:0.797673:0.217643:0.797673:0.000000
2:@0.277221:0.807222:0.282139:0.807222:0.282139:0.797673:0.277221:0.797673:0.000000
P:@0.110798:0.815370:0.119583:0.815370:0.119583:0.798902:0.110798:0.798902:0.000000
x y:@0.156553:0.815370:0.179055:0.815370:0.179055:0.798902:0.156553:0.798902:0.000000:0.000000:0.000000
y ax:@0.234867:0.815370:0.275998:0.815370:0.275998:0.798902:0.234867:0.798902:0.000000:0.000000:0.000000:0.000000
bx c:@0.300253:0.815370:0.341249:0.815370:0.341249:0.798902:0.300253:0.798902:0.000000:0.000000:0.000000:0.000000
,:@0.354485:0.824060:0.357240:0.824060:0.357240:0.807563:0.354485:0.807563:0.000000
α:@0.257685:0.858185:0.269842:0.858185:0.274614:0.841904:0.262458:0.841904:0.000000
β:@0.304538:0.858185:0.315115:0.858185:0.319888:0.841904:0.309311:0.841904:0.000000
λ:@0.341875:0.858185:0.352451:0.858185:0.357224:0.841904:0.346647:0.841904:0.000000
{:@0.140011:0.862759:0.149258:0.862759:0.149258:0.836058:0.140011:0.836058:0.000000
}:@0.355011:0.862759:0.364258:0.862759:0.364258:0.836058:0.355011:0.836058:0.000000
( ):@0.148700:0.860484:0.187308:0.860484:0.187308:0.838505:0.148700:0.838505:0.000000:0.000000:0.000000
∈:@0.189692:0.858185:0.203428:0.858185:0.203428:0.841904:0.189692:0.841904:0.000000
+:@0.292086:0.858185:0.302663:0.858185:0.302663:0.841904:0.292086:0.841904:0.000000
+:@0.329417:0.858185:0.339993:0.858185:0.339993:0.841904:0.329417:0.841904:0.000000
=:@0.127189:0.857549:0.137997:0.857549:0.137997:0.841051:0.127189:0.841051:0.000000
,:@0.166452:0.857549:0.169207:0.857549:0.169207:0.841051:0.166452:0.841051:0.000000
|=:@0.226925:0.857549:0.257307:0.857549:0.257307:0.841051:0.226925:0.841051:0.000000:0.000000
2:@0.117133:0.859768:0.122050:0.859768:0.122050:0.850219:0.117133:0.850219:0.000000
2:@0.218069:0.849516:0.222987:0.849516:0.222987:0.839967:0.218069:0.839967:0.000000
2:@0.282353:0.849516:0.287271:0.849516:0.287271:0.839967:0.282353:0.839967:0.000000
P:@0.110798:0.857665:0.119583:0.857665:0.119583:0.841196:0.110798:0.841196:0.000000
x y:@0.156977:0.857665:0.179479:0.857665:0.179479:0.841196:0.156977:0.841196:0.000000:0.000000:0.000000
y:@0.235290:0.857665:0.242977:0.857665:0.242977:0.841196:0.235290:0.841196:0.000000
x:@0.273667:0.857665:0.281142:0.857665:0.281142:0.841196:0.273667:0.841196:0.000000
x:@0.318536:0.857665:0.326011:0.857665:0.326011:0.841196:0.318536:0.841196:0.000000
,    :@0.367893:0.866355:0.387216:0.866355:0.387216:0.849857:0.367893:0.849857:0.000000:0.000000:0.000000:0.000000:0.000000
donde :@0.108236:0.891499:0.159272:0.891494:0.159272:0.874997:0.108236:0.875001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b, c,  ,  ,  ,:@0.159522:0.891610:0.256773:0.891610:0.256773:0.875141:0.159522:0.875141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α β λ:@0.206106:0.892044:0.253922:0.892044:0.253922:0.873204:0.206106:0.873204:0.000000:0.000000:0.000000:0.000000:0.000000
      ≠ 0  y   ≠ 0 son constantes. Se supone :@0.256773:0.891494:0.599846:0.891494:0.599846:0.874996:0.256773:0.874997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.261166:0.891277:0.277214:0.891277:0.277214:0.876630:0.261166:0.876630:0.000000
R:@0.281607:0.890525:0.295516:0.890525:0.295516:0.877078:0.281607:0.877078:0.000000
a   :@0.299909:0.891609:0.328229:0.891609:0.328229:0.875141:0.299909:0.875141:0.000000:0.000000:0.000000:0.000000
α :@0.362367:0.892043:0.379340:0.892043:0.379340:0.873203:0.362367:0.873203:0.000000:0.000000
 :@0.390456:0.891609:0.394598:0.891609:0.394598:0.875141:0.390456:0.875141:0.000000
que   ≠  . :@0.108181:0.908844:0.191987:0.908847:0.191987:0.892349:0.108181:0.892347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.139331:0.908960:0.148116:0.908960:0.148116:0.892491:0.139331:0.892491:0.000000
1:@0.148169:0.911518:0.152692:0.911518:0.152692:0.902736:0.148169:0.902736:0.000000
P:@0.171784:0.908963:0.180569:0.908963:0.180569:0.892494:0.171784:0.892494:0.000000
2:@0.180568:0.911518:0.185091:0.911518:0.185091:0.902736:0.180568:0.902736:0.000000
Analizaremos dos casos (los restantes se dejan como ejercicio).:@0.108241:0.933326:0.552318:0.933326:0.552318:0.916828:0.108241:0.916828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.726765:0.099187:0.731443:0.099187:0.731443:0.089389:0.726765:0.089389:0.000000
x:@0.841230:0.240233:0.845762:0.240233:0.845762:0.230434:0.841230:0.230434:0.000000
y = ax²+bx+c:@0.772203:0.136698:0.828967:0.136698:0.828967:0.126899:0.772203:0.126899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y =  x +:@0.789869:0.192974:0.826641:0.192974:0.826641:0.183176:0.789869:0.183176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.806039:0.193075:0.813135:0.193075:0.813135:0.182078:0.806039:0.182078:0.000000
 β:@0.826641:0.193075:0.834186:0.193075:0.834186:0.182078:0.826641:0.182078:0.000000:0.000000
β:@0.744494:0.202570:0.750668:0.202570:0.750668:0.191573:0.744494:0.191573:0.000000
c :@0.725512:0.177217:0.732327:0.177217:0.732327:0.167419:0.725512:0.167419:0.000000:0.000000
x:@0.703652:0.238448:0.708184:0.238448:0.708184:0.228649:0.703652:0.228649:0.000000
0:@0.727559:0.241731:0.732541:0.241731:0.732541:0.231932:0.727559:0.231932:0.000000
p:@0.787313:0.273761:0.798794:0.273761:0.798794:0.263736:0.787313:0.263736:0.000000
 Figura 3.12.:@0.798794:0.274469:0.856154:0.274469:0.856154:0.262992:0.798794:0.262992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = ax²+bx+c:@0.777438:0.391519:0.837550:0.391519:0.837550:0.381143:0.777438:0.381143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y =  x +:@0.664319:0.506232:0.703260:0.506232:0.703260:0.495856:0.664319:0.495856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.681444:0.506340:0.688958:0.506340:0.688958:0.494694:0.681444:0.494694:0.000000
 β:@0.703260:0.506340:0.711251:0.506340:0.711251:0.494694:0.703260:0.494694:0.000000:0.000000
β:@0.754990:0.506340:0.761528:0.506340:0.761528:0.494694:0.754990:0.494694:0.000000
y:@0.740236:0.345151:0.745190:0.345151:0.745190:0.334775:0.740236:0.334775:0.000000
x:@0.840350:0.488849:0.845149:0.488849:0.845149:0.478472:0.840350:0.478472:0.000000
0:@0.742248:0.490493:0.747524:0.490493:0.747524:0.480117:0.742248:0.480117:0.000000
p:@0.787313:0.555317:0.798794:0.555317:0.798794:0.545293:0.787313:0.545293:0.000000
 Figura 3.13.:@0.798794:0.556025:0.856154:0.556025:0.856154:0.544548:0.798794:0.544548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.616306:0.782426:0.616306:0.782426:0.600833:0.684804:0.600833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684804:0.628874:0.768866:0.628874:0.768866:0.613401:0.684804:0.613401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hay calculadoras, como :@0.685042:0.653348:0.850439:0.653348:0.850439:0.638285:0.685042:0.638285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la  -9860, que te permiten re-:@0.638498:0.669190:0.846639:0.669190:0.846639:0.654127:0.638498:0.654127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.655807:0.669296:0.666554:0.669296:0.666554:0.654259:0.655807:0.654259:0.000000:0.000000
solver sistemas de ecuaciones :@0.638498:0.685032:0.850453:0.685032:0.850453:0.669969:0.638498:0.669969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.846659:0.685032:0.850440:0.685032:0.850440:0.669969:0.846659:0.669969:0.000000
cuadráticas.:@0.638498:0.700874:0.714767:0.700874:0.714767:0.685811:0.638498:0.685811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.638503:0.867260:0.686135:0.867260:0.686135:0.851788:0.638503:0.851788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.686135:0.866838:0.702301:0.866838:0.702301:0.851775:0.686135:0.851775:0.000000:0.000000:0.000000
resume:@0.703761:0.867260:0.755458:0.867260:0.755458:0.851788:0.703761:0.851788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en el cuader-:@0.755458:0.866838:0.846664:0.866838:0.846664:0.851775:0.755458:0.851775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no cómo se resuelven estos sis-:@0.638503:0.882680:0.846664:0.882680:0.846664:0.867617:0.638503:0.867617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temas de ecuaciones con una :@0.638503:0.898522:0.850423:0.898522:0.850423:0.883459:0.638503:0.883459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculadora que  realiza esta :@0.638503:0.914364:0.850451:0.914364:0.850451:0.899301:0.638503:0.899301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operación.:@0.638503:0.930206:0.706667:0.930206:0.706667:0.915143:0.638503:0.915143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000