131:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento numérico:@0.721207:0.043660:0.926911:0.043660:0.926911:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 10:@0.073089:0.136836:0.158241:0.136836:0.158241:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza 8 2 3. :@0.073089:0.164198:0.241445:0.164199:0.241445:0.147766:0.073089:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.150142:0.164198:0.157597:0.164198:0.157597:0.147792:0.150142:0.147792:0.000000 2:@0.157527:0.158135:0.162764:0.158135:0.162764:0.148555:0.157527:0.148555:0.000000 2:@0.166675:0.163645:0.182008:0.163645:0.182008:0.149929:0.166675:0.149929:0.000000 x:@0.194765:0.164199:0.202220:0.164199:0.202220:0.147793:0.194765:0.147793:0.000000 2:@0.206104:0.163645:0.221437:0.163645:0.221437:0.149929:0.206104:0.149929:0.000000 Multiplicamos 8 por 3, que da 24.:@0.073093:0.191561:0.313502:0.191561:0.313502:0.175128:0.073093:0.175128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ubicamos los signos como corresponde y dividimos entre 8: :@0.073093:0.223347:0.513402:0.223347:0.513402:0.206913:0.073093:0.206913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (8:@0.515320:0.217245:0.529107:0.217245:0.529107:0.200811:0.515320:0.200811:0.000000:0.000000 x:@0.529015:0.217245:0.536470:0.217245:0.536470:0.200839:0.529015:0.200839:0.000000 2:@0.536397:0.216691:0.551730:0.216691:0.551730:0.202975:0.536397:0.202975:0.000000 )(8:@0.551649:0.217245:0.579371:0.217245:0.579371:0.200811:0.551649:0.200811:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.579269:0.217245:0.586724:0.217245:0.586724:0.200839:0.579269:0.200839:0.000000 1:@0.586650:0.216691:0.601983:0.216691:0.601983:0.202975:0.586650:0.202975:0.000000 ):@0.601898:0.217245:0.615906:0.217245:0.615906:0.200811:0.601898:0.200811:0.000000:0.000000:0.000000 8:@0.561755:0.231221:0.570738:0.231221:0.570738:0.214787:0.561755:0.214787:0.000000 :@0.619554:0.223357:0.623585:0.223357:0.623585:0.206924:0.619554:0.206924:0.000000 Buscamos dos números que multiplicados den 24 y restados 2. Son 6 y 4:@0.073098:0.250719:0.598179:0.250719:0.598179:0.234286:0.073098:0.234286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ubicamos los números: :@0.073098:0.282505:0.246763:0.282505:0.246763:0.266071:0.073098:0.266071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (8:@0.248905:0.276401:0.262692:0.276401:0.262692:0.259967:0.248905:0.259967:0.000000:0.000000 x:@0.262600:0.276401:0.270055:0.276401:0.270055:0.259995:0.262600:0.259995:0.000000 2:@0.269982:0.275846:0.285315:0.275846:0.285315:0.262130:0.269982:0.262130:0.000000 6)(8:@0.285223:0.276401:0.312723:0.276401:0.312723:0.259967:0.285223:0.259967:0.000000:0.000000:0.000000:0.000000 x:@0.312613:0.276401:0.320068:0.276401:0.320068:0.259995:0.312613:0.259995:0.000000 1:@0.319994:0.275846:0.335327:0.275846:0.335327:0.262130:0.319994:0.262130:0.000000 4):@0.335235:0.276401:0.349022:0.276401:0.349022:0.259967:0.335235:0.259967:0.000000:0.000000 8:@0.295310:0.290380:0.304293:0.290380:0.304293:0.273946:0.295310:0.273946:0.000000 Sacamos factor común en cada paréntesis: :@0.073061:0.314302:0.386139:0.314302:0.386139:0.297869:0.073061:0.297869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2(4:@0.388208:0.308194:0.410904:0.308194:0.410904:0.291760:0.388208:0.291760:0.000000:0.000000:0.000000 x:@0.410812:0.308194:0.418267:0.308194:0.418267:0.291788:0.410812:0.291788:0.000000 2:@0.418194:0.307639:0.433527:0.307639:0.433527:0.293924:0.418194:0.293924:0.000000 3)4(2:@0.433435:0.308194:0.469844:0.308194:0.469844:0.291760:0.433435:0.291760:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.469734:0.308194:0.477189:0.308194:0.477189:0.291788:0.469734:0.291788:0.000000 1:@0.477115:0.307639:0.492448:0.307639:0.492448:0.293924:0.477115:0.293924:0.000000 1):@0.492356:0.308194:0.506143:0.308194:0.506143:0.291760:0.492356:0.291760:0.000000:0.000000 8:@0.444350:0.322173:0.453333:0.322173:0.453333:0.305739:0.444350:0.305739:0.000000 (4 3)(2 1):@0.511776:0.314310:0.650880:0.314310:0.650880:0.297876:0.511776:0.297876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.515734:0.313755:0.531067:0.313755:0.531067:0.300040:0.515734:0.300040:0.000000 x:@0.548627:0.314310:0.556082:0.314310:0.556082:0.297904:0.548627:0.297904:0.000000 2:@0.559966:0.313755:0.575299:0.313755:0.575299:0.300040:0.559966:0.300040:0.000000 x:@0.606555:0.314310:0.614010:0.314310:0.614010:0.297904:0.606555:0.297904:0.000000 1:@0.617894:0.313755:0.633227:0.313755:0.633227:0.300040:0.617894:0.300040:0.000000 Simplificamos y obtenemos que: 8 2:@0.073094:0.341672:0.367646:0.341666:0.367646:0.325232:0.073094:0.325238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.322936:0.341672:0.330391:0.341672:0.330391:0.325266:0.322936:0.325266:0.000000 2:@0.330316:0.335602:0.335553:0.335602:0.335553:0.326021:0.330316:0.326021:0.000000 2:@0.339464:0.341111:0.354797:0.341111:0.354797:0.327395:0.339464:0.327395:0.000000 x:@0.367554:0.341666:0.375008:0.341666:0.375008:0.325260:0.367554:0.325260:0.000000 2 5:@0.374935:0.341111:0.418358:0.341111:0.418358:0.327395:0.374935:0.327395:0.000000:0.000000:0.000000 3 (4 3)(2 1):@0.390176:0.341666:0.538170:0.341666:0.538170:0.325232:0.390176:0.325232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.435918:0.341666:0.443373:0.341666:0.443373:0.325260:0.435918:0.325260:0.000000 2:@0.447257:0.341111:0.462590:0.341111:0.462590:0.327395:0.447257:0.327395:0.000000 x:@0.493846:0.341666:0.501301:0.341666:0.501301:0.325260:0.493846:0.325260:0.000000 1:@0.505185:0.341111:0.520518:0.341111:0.520518:0.327395:0.505185:0.327395:0.000000 Ejemplo 11:@0.073074:0.369028:0.158226:0.369028:0.158226:0.352358:0.073074:0.352358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza 3 11 4 :@0.073074:0.396390:0.252413:0.396392:0.252413:0.379958:0.073074:0.379956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.150127:0.396390:0.157582:0.396390:0.157582:0.379984:0.150127:0.379984:0.000000 4:@0.157527:0.390328:0.162764:0.390328:0.162764:0.380747:0.157527:0.380747:0.000000 2:@0.166675:0.395837:0.182008:0.395837:0.182008:0.382122:0.166675:0.382122:0.000000 x:@0.203674:0.396392:0.211129:0.396392:0.211129:0.379986:0.203674:0.379986:0.000000 2:@0.211052:0.390328:0.216289:0.390328:0.216289:0.380747:0.211052:0.380747:0.000000 2:@0.220200:0.395837:0.235533:0.395837:0.235533:0.382122:0.220200:0.382122:0.000000 Es un caso especial de trinomio de la forma :@0.073089:0.423754:0.390631:0.423754:0.390631:0.407320:0.073089:0.407320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ax:@0.390265:0.423754:0.406905:0.423754:0.406905:0.407348:0.390265:0.407348:0.000000:0.000000 2:@0.406851:0.417691:0.412088:0.417691:0.412088:0.408110:0.406851:0.408110:0.000000 :@0.412041:0.423755:0.474846:0.423755:0.474846:0.407321:0.412041:0.407321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.415998:0.423201:0.431331:0.423201:0.431331:0.409485:0.415998:0.409485:0.000000 bx:@0.435197:0.423755:0.451671:0.423755:0.451671:0.407349:0.435197:0.407349:0.000000:0.000000 1:@0.455574:0.423201:0.470907:0.423201:0.470907:0.409485:0.455574:0.409485:0.000000 c:@0.474772:0.423755:0.482430:0.423755:0.482430:0.407349:0.474772:0.407349:0.000000 Multiplicamos 3 por 4 y obtenemos 12:@0.073126:0.451117:0.352939:0.451117:0.352939:0.434683:0.073126:0.434683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ubicamos los signos como corresponde y dividimos entre 3: :@0.073126:0.482903:0.513435:0.482903:0.513435:0.466469:0.073126:0.466469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (3:@0.515320:0.476801:0.529107:0.476801:0.529107:0.460367:0.515320:0.460367:0.000000:0.000000 x:@0.529015:0.476801:0.536470:0.476801:0.536470:0.460395:0.529015:0.460395:0.000000 2:@0.536408:0.470737:0.541645:0.470737:0.541645:0.461156:0.536408:0.461156:0.000000 2:@0.541597:0.476246:0.556931:0.476246:0.556931:0.462531:0.541597:0.462531:0.000000 )(3 ):@0.556839:0.476801:0.633766:0.476801:0.633766:0.460367:0.556839:0.460367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.584458:0.476801:0.591913:0.476801:0.591913:0.460395:0.584458:0.460395:0.000000 2:@0.591848:0.470737:0.597084:0.470737:0.597084:0.461156:0.591848:0.461156:0.000000 1:@0.600773:0.476246:0.616107:0.476246:0.616107:0.462531:0.600773:0.462531:0.000000 3:@0.570052:0.490777:0.579034:0.490777:0.579034:0.474343:0.570052:0.474343:0.000000 Buscamos dos números que multiplicados den 12 y restados 11. Son 12 y 1:@0.073093:0.510275:0.615993:0.510275:0.615993:0.493841:0.073093:0.493841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ubicamos los números: :@0.073093:0.542061:0.246758:0.542061:0.246758:0.525627:0.073093:0.525627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (3:@0.248905:0.535958:0.262692:0.535958:0.262692:0.519524:0.248905:0.519524:0.000000:0.000000 x:@0.262600:0.535958:0.270055:0.535958:0.270055:0.519552:0.262600:0.519552:0.000000 2:@0.269993:0.529894:0.275230:0.529894:0.275230:0.520313:0.269993:0.520313:0.000000 2:@0.275184:0.535403:0.290518:0.535403:0.290518:0.521687:0.275184:0.521687:0.000000 12)(3 1):@0.290425:0.535958:0.376248:0.535958:0.376248:0.519524:0.290425:0.519524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.326725:0.535958:0.334180:0.535958:0.334180:0.519552:0.326725:0.519552:0.000000 2:@0.334114:0.529894:0.339351:0.529894:0.339351:0.520313:0.334114:0.520313:0.000000 1:@0.343263:0.535403:0.358596:0.535403:0.358596:0.521687:0.343263:0.521687:0.000000 3:@0.308547:0.549937:0.317529:0.549937:0.317529:0.533503:0.308547:0.533503:0.000000 Sacamos factor común en el primer paréntesis: :@0.073099:0.573860:0.416728:0.573860:0.416728:0.557426:0.073099:0.557426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3(:@0.418729:0.567750:0.432516:0.567750:0.432516:0.551316:0.418729:0.551316:0.000000:0.000000 x:@0.432424:0.567750:0.439879:0.567750:0.439879:0.551344:0.432424:0.551344:0.000000 2:@0.439817:0.561686:0.445054:0.561686:0.445054:0.552105:0.439817:0.552105:0.000000 2:@0.445006:0.567195:0.460339:0.567195:0.460339:0.553480:0.445006:0.553480:0.000000 4)(3 1):@0.460247:0.567750:0.533210:0.567750:0.533210:0.551316:0.460247:0.551316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.487637:0.567750:0.495092:0.567750:0.495092:0.551344:0.487637:0.551344:0.000000 2:@0.495035:0.561686:0.500272:0.561686:0.500272:0.552105:0.495035:0.552105:0.000000 1:@0.504182:0.567195:0.519515:0.567195:0.519515:0.553480:0.504182:0.553480:0.000000 3:@0.471473:0.581729:0.480455:0.581729:0.480455:0.565295:0.471473:0.565295:0.000000 Simplificamos y obtenemos que 3 11 4 ( 4)(3 1):@0.073084:0.601228:0.558535:0.601223:0.558535:0.584789:0.073084:0.584794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.319797:0.601228:0.327252:0.601228:0.327252:0.584822:0.319797:0.584822:0.000000 4:@0.327195:0.595159:0.332432:0.595159:0.332432:0.585578:0.327195:0.585578:0.000000 2:@0.336342:0.600668:0.351675:0.600668:0.351675:0.586952:0.336342:0.586952:0.000000 x:@0.373340:0.601223:0.380795:0.601223:0.380795:0.584817:0.373340:0.584817:0.000000 2:@0.380720:0.595159:0.385957:0.595159:0.385957:0.585578:0.380720:0.585578:0.000000 2 5:@0.389866:0.600668:0.437247:0.600668:0.437247:0.586952:0.389866:0.586952:0.000000:0.000000:0.000000 x:@0.445898:0.601223:0.453353:0.601223:0.453353:0.584817:0.445898:0.584817:0.000000 2:@0.453283:0.595159:0.458520:0.595159:0.458520:0.585578:0.453283:0.585578:0.000000 2:@0.462430:0.600668:0.477763:0.600668:0.477763:0.586952:0.462430:0.586952:0.000000 x:@0.509018:0.601223:0.516473:0.601223:0.516473:0.584817:0.509018:0.584817:0.000000 2:@0.516401:0.595159:0.521638:0.595159:0.521638:0.585578:0.516401:0.585578:0.000000 1:@0.525550:0.600668:0.540883:0.600668:0.540883:0.586952:0.525550:0.586952:0.000000 Pero, el primer paréntesis es una diferencia de cuadrados. Luego se puede escribir que::@0.073099:0.628585:0.700212:0.628585:0.700212:0.612151:0.073099:0.612151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3x 11x 4 ( 2)( 2)(3 1):@0.243569:0.655947:0.535888:0.655949:0.535888:0.639515:0.243569:0.639513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.260281:0.649885:0.265518:0.649885:0.265518:0.640304:0.260281:0.640304:0.000000 2:@0.269429:0.655395:0.284763:0.655395:0.284763:0.641679:0.269429:0.641679:0.000000 2:@0.314234:0.649885:0.319471:0.649885:0.319471:0.640304:0.314234:0.640304:0.000000 2 5:@0.323381:0.655395:0.370761:0.655395:0.370761:0.641679:0.323381:0.641679:0.000000:0.000000:0.000000 x:@0.379413:0.655949:0.386868:0.655949:0.386868:0.639543:0.379413:0.639543:0.000000 1:@0.390752:0.655395:0.406085:0.655395:0.406085:0.641679:0.390752:0.641679:0.000000 x:@0.428431:0.655949:0.435886:0.655949:0.435886:0.639543:0.428431:0.639543:0.000000 2:@0.439770:0.655395:0.455103:0.655395:0.455103:0.641679:0.439770:0.641679:0.000000 x:@0.486359:0.655949:0.493814:0.655949:0.493814:0.639543:0.486359:0.639543:0.000000 2:@0.493754:0.649885:0.498991:0.649885:0.498991:0.640304:0.493754:0.640304:0.000000 1:@0.502902:0.655395:0.518235:0.655395:0.518235:0.641679:0.502902:0.641679:0.000000 Ejemplo 12:@0.073093:0.683311:0.158245:0.683311:0.158245:0.666642:0.073093:0.666642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Factoriza totalmente x 20 64:@0.073093:0.710673:0.333651:0.710674:0.333651:0.694241:0.073093:0.694239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.233888:0.704610:0.239125:0.704610:0.239125:0.695030:0.233888:0.695030:0.000000 2:@0.243035:0.710120:0.258368:0.710120:0.258368:0.696404:0.243035:0.696404:0.000000 x:@0.280034:0.710674:0.287489:0.710674:0.287489:0.694268:0.280034:0.694268:0.000000 2:@0.287413:0.704610:0.292650:0.704610:0.292650:0.695030:0.287413:0.695030:0.000000 1:@0.296560:0.710120:0.311893:0.710120:0.311893:0.696404:0.296560:0.696404:0.000000 Es un caso especial de trinomio de la forma :@0.073096:0.738036:0.465654:0.738038:0.465654:0.721604:0.073096:0.721603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.390271:0.738036:0.397726:0.738036:0.397726:0.721630:0.390271:0.721630:0.000000 2:@0.397658:0.731974:0.402895:0.731974:0.402895:0.722393:0.397658:0.722393:0.000000 1:@0.406806:0.737483:0.422139:0.737483:0.422139:0.723767:0.406806:0.723767:0.000000 bx:@0.426005:0.738038:0.442479:0.738038:0.442479:0.721632:0.426005:0.721632:0.000000:0.000000 1:@0.446382:0.737483:0.461715:0.737483:0.461715:0.723767:0.446382:0.723767:0.000000 c:@0.465581:0.738038:0.473238:0.738038:0.473238:0.721632:0.465581:0.721632:0.000000 La raíz cuadrada de es :@0.073119:0.765400:0.252923:0.765401:0.252923:0.748967:0.073119:0.748966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.216733:0.765400:0.224188:0.765400:0.224188:0.748993:0.216733:0.748993:0.000000 4:@0.224099:0.759337:0.229336:0.759337:0.229336:0.749756:0.224099:0.749756:0.000000 x:@0.252813:0.765401:0.260268:0.765401:0.260268:0.748995:0.252813:0.748995:0.000000 2:@0.260211:0.759337:0.265448:0.759337:0.265448:0.749756:0.260211:0.749756:0.000000 Luego, ubicamos 20 64 (:@0.073089:0.792764:0.336333:0.792764:0.336333:0.776330:0.073089:0.776330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.201258:0.792764:0.208713:0.792764:0.208713:0.776358:0.201258:0.776358:0.000000 4:@0.208645:0.786700:0.213882:0.786700:0.213882:0.777119:0.208645:0.777119:0.000000 2:@0.217794:0.792209:0.233127:0.792209:0.233127:0.778494:0.217794:0.778494:0.000000 x:@0.254792:0.792764:0.262247:0.792764:0.262247:0.776358:0.254792:0.776358:0.000000 2:@0.262170:0.786700:0.267407:0.786700:0.267407:0.777119:0.262170:0.777119:0.000000 1:@0.271319:0.792209:0.286652:0.792209:0.286652:0.778494:0.271319:0.778494:0.000000 5:@0.312256:0.792209:0.327590:0.792209:0.327590:0.778494:0.312256:0.778494:0.000000 x:@0.336241:0.792764:0.343696:0.792764:0.343696:0.776358:0.336241:0.776358:0.000000 2:@0.343636:0.786700:0.348873:0.786700:0.348873:0.777119:0.343636:0.777119:0.000000 2:@0.348825:0.792209:0.364158:0.792209:0.364158:0.778494:0.348825:0.778494:0.000000 )(:@0.364066:0.792764:0.373748:0.792764:0.373748:0.776330:0.364066:0.776330:0.000000:0.000000 x:@0.373656:0.792764:0.381111:0.792764:0.381111:0.776358:0.373656:0.776358:0.000000 2:@0.381049:0.786700:0.386286:0.786700:0.386286:0.777119:0.381049:0.777119:0.000000 2:@0.386240:0.792209:0.401573:0.792209:0.401573:0.778494:0.386240:0.778494:0.000000 ):@0.401481:0.792764:0.406359:0.792764:0.406359:0.776330:0.401481:0.776330:0.000000 Buscamos dos números que multiplicados den 64 y sumados 20. :@0.073096:0.820126:0.546468:0.820126:0.546468:0.803692:0.073096:0.803692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Los números son 16 y 4:@0.073096:0.847488:0.243387:0.847488:0.243387:0.831054:0.073096:0.831054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Luego, 20 64 ( 16)(x 4):@0.073096:0.874850:0.373927:0.874854:0.373927:0.858420:0.073096:0.858416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.125870:0.874850:0.133325:0.874850:0.133325:0.858444:0.125870:0.858444:0.000000 4:@0.133257:0.868790:0.138494:0.868790:0.138494:0.859209:0.133257:0.859209:0.000000 2:@0.142404:0.874299:0.157738:0.874299:0.157738:0.860583:0.142404:0.860583:0.000000 x:@0.179403:0.874854:0.186858:0.874854:0.186858:0.858448:0.179403:0.858448:0.000000 2:@0.186783:0.868790:0.192019:0.868790:0.192019:0.859209:0.186783:0.859209:0.000000 1:@0.195929:0.874299:0.211263:0.874299:0.211263:0.860583:0.195929:0.860583:0.000000 5:@0.236867:0.874299:0.252200:0.874299:0.252200:0.860583:0.236867:0.860583:0.000000 x:@0.260852:0.874854:0.268307:0.874854:0.268307:0.858448:0.260852:0.858448:0.000000 2:@0.268248:0.868790:0.273485:0.868790:0.273485:0.859209:0.268248:0.859209:0.000000 2:@0.277395:0.874299:0.292728:0.874299:0.292728:0.860583:0.277395:0.860583:0.000000 2:@0.331795:0.868790:0.337032:0.868790:0.337032:0.859209:0.331795:0.859209:0.000000 2:@0.340942:0.874299:0.356275:0.874299:0.356275:0.860583:0.340942:0.860583:0.000000 En cada paréntesis hay una diferencia de cuadrados.:@0.073098:0.902216:0.450329:0.902216:0.450329:0.885782:0.073098:0.885782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Finalmente, obtenemos: 20x 64 ( 4)( 4)( 2 )( 2):@0.073098:0.929578:0.583553:0.929580:0.583553:0.913146:0.073098:0.913144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.252804:0.929580:0.260259:0.929580:0.260259:0.913174:0.252804:0.913174:0.000000 4:@0.260192:0.923516:0.265429:0.923516:0.265429:0.913935:0.260192:0.913935:0.000000 2:@0.269339:0.929025:0.284672:0.929025:0.284672:0.915310:0.269339:0.915310:0.000000 2:@0.314146:0.923516:0.319383:0.923516:0.319383:0.913935:0.314146:0.913935:0.000000 1:@0.323292:0.929025:0.338626:0.929025:0.338626:0.915310:0.323292:0.915310:0.000000 5:@0.364230:0.929025:0.379563:0.929025:0.379563:0.915310:0.364230:0.915310:0.000000 x:@0.388215:0.929580:0.395670:0.929580:0.395670:0.913174:0.388215:0.913174:0.000000 1:@0.399554:0.929025:0.414887:0.929025:0.414887:0.915310:0.399554:0.915310:0.000000 x:@0.437233:0.929580:0.444688:0.929580:0.444688:0.913174:0.437233:0.913174:0.000000 2:@0.448572:0.929025:0.463905:0.929025:0.463905:0.915310:0.448572:0.915310:0.000000 x:@0.486252:0.929580:0.493707:0.929580:0.493707:0.913174:0.486252:0.913174:0.000000 1:@0.497591:0.929025:0.512924:0.929025:0.512924:0.915310:0.497591:0.915310:0.000000 x:@0.539228:0.929580:0.546683:0.929580:0.546683:0.913174:0.539228:0.913174:0.000000 2:@0.550567:0.929025:0.565900:0.929025:0.565900:0.915310:0.550567:0.915310:0.000000 DBA 9 (Ev. 1) Opera con formas simbólicas que representan números y encuentra valores desconocidos en ecuaciones numéricas.:@0.077832:0.967287:0.759927:0.967287:0.759927:0.955335:0.077832:0.955335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 9 (Ev. 3) Representa relaciones numéricas mediante expresiones algebraicas y opera con y sobre variables.:@0.077832:0.979390:0.659362:0.979390:0.659362:0.967438:0.077832:0.967438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000