﻿103:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La diferencia de dos :@0.740294:0.184743:0.875473:0.184743:0.875473:0.169803:0.740294:0.169803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencias de exponentes :@0.740294:0.199872:0.911033:0.199872:0.911033:0.184932:0.740294:0.184932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales, ya sea pares :@0.740294:0.215001:0.876176:0.215001:0.876176:0.200061:0.740294:0.200061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o impares, siempre es:@0.740294:0.230130:0.882729:0.230130:0.882729:0.215190:0.740294:0.215190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divisible entre la diferencia:@0.740294:0.245259:0.915206:0.245259:0.915206:0.230319:0.740294:0.230319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de sus bases.:@0.740294:0.260388:0.825563:0.260388:0.825563:0.245448:0.740294:0.245448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.745771:0.278986:0.753226:0.278986:0.753226:0.262580:0.745771:0.262580:0.000000
4:@0.753159:0.272923:0.758396:0.272923:0.758396:0.263342:0.753159:0.263342:0.000000
   :@0.758350:0.278986:0.781580:0.278986:0.781580:0.262553:0.758350:0.262553:0.000000:0.000000:0.000000
2:@0.762307:0.278432:0.777640:0.278432:0.777640:0.264716:0.762307:0.264716:0.000000
y:@0.781506:0.278986:0.788979:0.278986:0.788979:0.262580:0.781506:0.262580:0.000000
4:@0.788899:0.272923:0.794136:0.272923:0.794136:0.263342:0.788899:0.263342:0.000000
x:@0.750950:0.292962:0.758405:0.292962:0.758405:0.276556:0.750950:0.276556:0.000000
   :@0.758331:0.292962:0.781561:0.292962:0.781561:0.276528:0.758331:0.276528:0.000000:0.000000:0.000000
1:@0.762289:0.292407:0.777622:0.292407:0.777622:0.278691:0.762289:0.278691:0.000000
y:@0.781487:0.292962:0.788961:0.292962:0.788961:0.276556:0.781487:0.276556:0.000000
5 2:@0.799538:0.283515:0.838769:0.283515:0.838769:0.271046:0.799538:0.271046:0.000000:0.000000:0.000000
x:@0.813394:0.284019:0.820171:0.284019:0.820171:0.269105:0.813394:0.269105:0.000000
3:@0.820111:0.278507:0.824872:0.278507:0.824872:0.269797:0.820111:0.269797:0.000000
x y:@0.838686:0.284019:0.856914:0.284019:0.856914:0.269105:0.838686:0.269105:0.000000:0.000000:0.000000
2 2:@0.845402:0.278507:0.861614:0.278507:0.861614:0.269797:0.845402:0.269797:0.000000:0.000000:0.000000
1:@0.861572:0.283515:0.875512:0.283515:0.875512:0.271046:0.861572:0.271046:0.000000
y:@0.875428:0.284019:0.882222:0.284019:0.882222:0.269105:0.875428:0.269105:0.000000
3:@0.882160:0.278507:0.886921:0.278507:0.886921:0.269797:0.882160:0.269797:0.000000
La suma de potencias :@0.740294:0.306297:0.887512:0.306297:0.887512:0.291357:0.740294:0.291357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de exponentes iguales :@0.740294:0.321426:0.893066:0.321426:0.893066:0.306486:0.740294:0.306486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impares siempre es :@0.740294:0.336555:0.871308:0.336555:0.871308:0.321615:0.740294:0.321615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divisible, exactamente, :@0.740294:0.351684:0.893198:0.351684:0.893198:0.336744:0.740294:0.336744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre la suma de sus bases.:@0.740294:0.366813:0.918314:0.366813:0.918314:0.351873:0.740294:0.351873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.743051:0.384528:0.749151:0.384528:0.749151:0.371105:0.743051:0.371105:0.000000
5:@0.749096:0.379567:0.753380:0.379567:0.753380:0.371728:0.749096:0.371728:0.000000
2:@0.753343:0.384075:0.765888:0.384075:0.765888:0.372853:0.753343:0.372853:0.000000
y:@0.765813:0.384528:0.771927:0.384528:0.771927:0.371105:0.765813:0.371105:0.000000
3:@0.771874:0.379567:0.776159:0.379567:0.776159:0.371728:0.771874:0.371728:0.000000
x y:@0.747290:0.396611:0.771914:0.396611:0.771914:0.383188:0.747290:0.383188:0.000000:0.000000:0.000000
2:@0.753329:0.396158:0.765875:0.396158:0.765875:0.384936:0.753329:0.384936:0.000000
5 2:@0.778842:0.389418:0.814157:0.389423:0.814157:0.378201:0.778842:0.378196:0.000000:0.000000:0.000000
x:@0.791312:0.389872:0.797411:0.389872:0.797411:0.376448:0.791312:0.376448:0.000000
4:@0.797365:0.384915:0.801649:0.384915:0.801649:0.377076:0.797365:0.377076:0.000000
x y x y:@0.814082:0.389877:0.859308:0.389877:0.859308:0.376453:0.814082:0.376453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.820126:0.384915:0.824411:0.384915:0.824411:0.377076:0.820126:0.377076:0.000000
1:@0.830427:0.389423:0.842973:0.389423:0.842973:0.378201:0.830427:0.378201:0.000000
2 2:@0.848948:0.384915:0.863539:0.384915:0.863539:0.377076:0.848948:0.377076:0.000000:0.000000:0.000000
2:@0.863500:0.389423:0.876046:0.389423:0.876046:0.378201:0.863500:0.378201:0.000000
xy:@0.875970:0.389877:0.888290:0.389877:0.888290:0.376453:0.875970:0.376453:0.000000:0.000000
3:@0.888241:0.384915:0.892526:0.384915:0.892526:0.377076:0.888241:0.377076:0.000000
1:@0.892488:0.389423:0.905034:0.389423:0.905034:0.378201:0.892488:0.378201:0.000000
y:@0.904958:0.389877:0.911073:0.389877:0.911073:0.376453:0.904958:0.376453:0.000000
4:@0.911018:0.384915:0.915302:0.384915:0.915302:0.377076:0.911018:0.377076:0.000000
La diferencia de potencias :@0.740294:0.412468:0.915906:0.412468:0.915906:0.397528:0.740294:0.397528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de exponentes iguales :@0.740294:0.427597:0.893066:0.427597:0.893066:0.412657:0.740294:0.412657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pares, siempre es divisible, :@0.740294:0.442726:0.916854:0.442726:0.916854:0.427786:0.740294:0.427786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exactamente, entre la :@0.740294:0.457855:0.886221:0.457855:0.886221:0.442915:0.740294:0.442915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma de sus bases.:@0.740294:0.472984:0.865322:0.472984:0.865322:0.458044:0.740294:0.458044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.745771:0.491582:0.753226:0.491582:0.753226:0.475176:0.745771:0.475176:0.000000
4:@0.753159:0.485518:0.758396:0.485518:0.758396:0.475937:0.753159:0.475937:0.000000
   :@0.758350:0.491582:0.781580:0.491582:0.781580:0.475148:0.758350:0.475148:0.000000:0.000000:0.000000
2:@0.762307:0.491027:0.777640:0.491027:0.777640:0.477312:0.762307:0.477312:0.000000
y:@0.781506:0.491582:0.788979:0.491582:0.788979:0.475176:0.781506:0.475176:0.000000
4:@0.788899:0.485518:0.794136:0.485518:0.794136:0.475937:0.788899:0.475937:0.000000
x:@0.750952:0.505557:0.758406:0.505557:0.758406:0.489151:0.750952:0.489151:0.000000
   :@0.758333:0.505557:0.781563:0.505557:0.781563:0.489124:0.758333:0.489124:0.000000:0.000000:0.000000
1:@0.762290:0.505003:0.777624:0.505003:0.777624:0.491287:0.762290:0.491287:0.000000
y:@0.781489:0.505557:0.788963:0.505557:0.788963:0.489151:0.781489:0.489151:0.000000
5:@0.799540:0.496111:0.813479:0.496111:0.813479:0.483642:0.799540:0.483642:0.000000
x y xy:@0.813396:0.496615:0.859101:0.496615:0.859101:0.481700:0.813396:0.481700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.820111:0.491102:0.824872:0.491102:0.824872:0.482392:0.820111:0.482392:0.000000
1:@0.831557:0.496111:0.845496:0.496111:0.845496:0.483642:0.831557:0.483642:0.000000
2:@0.859052:0.491102:0.863813:0.491102:0.863813:0.482392:0.859052:0.482392:0.000000
2:@0.863771:0.496111:0.877711:0.496111:0.877711:0.483642:0.863771:0.483642:0.000000
y:@0.877627:0.496615:0.884421:0.496615:0.884421:0.481700:0.877627:0.481700:0.000000
3:@0.884361:0.491102:0.889121:0.491102:0.889121:0.482392:0.884361:0.482392:0.000000
Una suma de potencias :@0.740294:0.518891:0.899384:0.518891:0.899384:0.503951:0.740294:0.503951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales pares, nunca será :@0.740294:0.534020:0.907761:0.534020:0.907761:0.519080:0.740294:0.519080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divisible exactamente :@0.740294:0.549149:0.887856:0.549149:0.887856:0.534209:0.740294:0.534209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre la suma de sus :@0.740294:0.564278:0.878628:0.564278:0.878628:0.549338:0.740294:0.549338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bases; tampoco lo será la :@0.740294:0.579407:0.908821:0.579407:0.908821:0.564467:0.740294:0.564467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencia de potencias :@0.740294:0.594536:0.897354:0.594536:0.897354:0.579596:0.740294:0.579596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales impares si se divide :@0.740294:0.609665:0.921916:0.609665:0.921916:0.594725:0.740294:0.594725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre la suma de sus bases.:@0.740294:0.624794:0.918314:0.624794:0.918314:0.609854:0.740294:0.609854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.145303:0.848854:0.145303:0.848854:0.128356:0.740294:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.161945:0.837769:0.161945:0.837769:0.144998:0.740294:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.2 Cocientes notables:@0.073089:0.136836:0.249975:0.136836:0.249975:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen ciertas divisiones cuyo cociente puede ser escrito directamente. A este tipo de :@0.073089:0.171347:0.710197:0.171347:0.710197:0.154913:0.073089:0.154913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divisiones se les denomina :@0.073089:0.187988:0.270728:0.187988:0.270728:0.171555:0.073089:0.171555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cocientes notables.:@0.270470:0.187988:0.415906:0.187988:0.415906:0.171319:0.270470:0.171319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La diferencia de dos cuadrados perfectos dividida entre la suma de las raíces es igual a :@0.080653:0.224095:0.703283:0.224095:0.703283:0.207661:0.080653:0.207661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la diferencia de sus raíces; y si la división es para la diferencia de sus raíces, el cociente :@0.080653:0.240737:0.703328:0.240737:0.703328:0.224303:0.080653:0.224303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es igual a la suma de las raíces.:@0.080653:0.257379:0.301587:0.257379:0.301587:0.240945:0.080653:0.240945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.207665:0.275914:0.216924:0.275914:0.216924:0.259508:0.207665:0.259508:0.000000
2:@0.216857:0.269850:0.222094:0.269850:0.222094:0.260269:0.216857:0.260269:0.000000
   :@0.222048:0.275914:0.245277:0.275914:0.245277:0.259480:0.222048:0.259480:0.000000:0.000000:0.000000
2:@0.226005:0.275359:0.241338:0.275359:0.241338:0.261644:0.226005:0.261644:0.000000
b:@0.245204:0.275914:0.254463:0.275914:0.254463:0.259508:0.245204:0.259508:0.000000
2:@0.254382:0.269850:0.259619:0.269850:0.259619:0.260269:0.254382:0.260269:0.000000
a:@0.212846:0.289889:0.222104:0.289889:0.222104:0.273483:0.212846:0.273483:0.000000
   :@0.222031:0.289889:0.245261:0.289889:0.245261:0.273456:0.222031:0.273456:0.000000:0.000000:0.000000
1:@0.225988:0.289335:0.241322:0.289335:0.241322:0.275619:0.225988:0.275619:0.000000
b:@0.245187:0.289889:0.254446:0.289889:0.254446:0.273483:0.245187:0.273483:0.000000
       :@0.263226:0.281263:0.318798:0.281263:0.318798:0.264830:0.263226:0.264830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.267184:0.280709:0.314859:0.280709:0.314859:0.266993:0.267184:0.266993:0.000000:0.000000:0.000000
a:@0.286383:0.281263:0.295641:0.281263:0.295641:0.264857:0.286383:0.264857:0.000000
b:@0.318699:0.281262:0.327958:0.281262:0.327958:0.264856:0.318699:0.264856:0.000000
a:@0.445786:0.275914:0.455045:0.275914:0.455045:0.259508:0.445786:0.259508:0.000000
2:@0.454980:0.269850:0.460216:0.269850:0.460216:0.260269:0.454980:0.260269:0.000000
   :@0.460169:0.275914:0.483399:0.275914:0.483399:0.259480:0.460169:0.259480:0.000000:0.000000:0.000000
2:@0.464126:0.275359:0.479460:0.275359:0.479460:0.261644:0.464126:0.261644:0.000000
b:@0.483325:0.275914:0.492584:0.275914:0.492584:0.259508:0.483325:0.259508:0.000000
2:@0.492504:0.269850:0.497741:0.269850:0.497741:0.260269:0.492504:0.260269:0.000000
a:@0.450967:0.289889:0.460226:0.289889:0.460226:0.273483:0.450967:0.273483:0.000000
   :@0.460152:0.289889:0.483382:0.289889:0.483382:0.273456:0.460152:0.273456:0.000000:0.000000:0.000000
2:@0.464110:0.289335:0.479443:0.289335:0.479443:0.275619:0.464110:0.275619:0.000000
b:@0.483308:0.289889:0.492567:0.289889:0.492567:0.273483:0.483308:0.273483:0.000000
       :@0.501347:0.281263:0.556919:0.281263:0.556919:0.264830:0.501347:0.264830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 1:@0.505305:0.280709:0.552980:0.280709:0.552980:0.266993:0.505305:0.266993:0.000000:0.000000:0.000000
a:@0.524504:0.281263:0.533763:0.281263:0.533763:0.264857:0.524504:0.264857:0.000000
b:@0.556845:0.281263:0.566104:0.281263:0.566104:0.264857:0.556845:0.264857:0.000000
Ejemplo 1:@0.073121:0.331411:0.148904:0.331411:0.148904:0.314741:0.073121:0.314741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula el cociente :@0.073121:0.365915:0.212983:0.365915:0.212983:0.349481:0.073121:0.349481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
25    64:@0.341549:0.398750:0.412981:0.398750:0.412981:0.382316:0.341549:0.382316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.359349:0.398750:0.366804:0.398750:0.366804:0.382344:0.359349:0.382344:0.000000
4:@0.366742:0.392686:0.371979:0.392686:0.371979:0.383105:0.366742:0.383105:0.000000
2:@0.375890:0.398195:0.391224:0.398195:0.391224:0.384479:0.375890:0.384479:0.000000
y z:@0.412889:0.398750:0.432710:0.398750:0.432710:0.382344:0.412889:0.382344:0.000000:0.000000:0.000000
2 6:@0.420285:0.392686:0.437880:0.392686:0.437880:0.383105:0.420285:0.383105:0.000000:0.000000:0.000000
5    8:@0.353047:0.412724:0.406666:0.412724:0.406666:0.396290:0.353047:0.396290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.361956:0.412724:0.369411:0.412724:0.369411:0.396318:0.361956:0.396318:0.000000
2:@0.369337:0.406660:0.374574:0.406660:0.374574:0.397079:0.369337:0.397079:0.000000
1:@0.378484:0.412169:0.393817:0.412169:0.393817:0.398453:0.378484:0.398453:0.000000
yz:@0.406574:0.412724:0.421207:0.412724:0.421207:0.396318:0.406574:0.396318:0.000000:0.000000
3:@0.421147:0.406660:0.426384:0.406660:0.426384:0.397079:0.421147:0.397079:0.000000
Como 25    64:@0.073089:0.438608:0.193802:0.438608:0.193802:0.422174:0.073089:0.422174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.139778:0.438608:0.147233:0.438608:0.147233:0.422202:0.139778:0.422202:0.000000
4:@0.147160:0.432544:0.152397:0.432544:0.152397:0.422963:0.147160:0.422963:0.000000
2:@0.156509:0.438053:0.171843:0.438053:0.171843:0.424338:0.156509:0.424338:0.000000
y z:@0.193710:0.438608:0.213542:0.438608:0.213542:0.422202:0.193710:0.422202:0.000000:0.000000:0.000000
2 6:@0.201118:0.432544:0.218713:0.432544:0.218713:0.422963:0.201118:0.422963:0.000000:0.000000:0.000000
 es la diferencia de dos cuadrados perfectos y 5    8:@0.218666:0.438608:0.606625:0.438608:0.606625:0.422174:0.218666:0.422174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.561501:0.438608:0.568956:0.438608:0.568956:0.422202:0.561501:0.422202:0.000000
2:@0.568892:0.432544:0.574129:0.432544:0.574129:0.422963:0.568892:0.422963:0.000000
1:@0.578241:0.438053:0.593575:0.438053:0.593575:0.424338:0.578241:0.424338:0.000000
yz:@0.606533:0.438608:0.621167:0.438608:0.621167:0.422202:0.606533:0.422202:0.000000:0.000000
3:@0.621117:0.432544:0.626354:0.432544:0.626354:0.422963:0.621117:0.422963:0.000000
 es la suma :@0.626306:0.438608:0.710427:0.438608:0.710427:0.422174:0.626306:0.422174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de sus raíces, el cociente es::@0.073094:0.455250:0.273371:0.455250:0.273371:0.438816:0.073094:0.438816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La diferencia de cubos perfectos dividida entre la diferencia de sus raíces cúbicas es :@0.080653:0.491356:0.702693:0.491356:0.702693:0.474923:0.080653:0.474923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual al cuadrado de la primera raíz, más el producto de las dos raíces, más el cuadrado :@0.080653:0.507998:0.702365:0.507998:0.702365:0.491564:0.080653:0.491564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la segunda raíz.:@0.080653:0.524640:0.214694:0.524640:0.214694:0.508206:0.080653:0.508206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.306169:0.543176:0.315428:0.543176:0.315428:0.526770:0.306169:0.526770:0.000000
3:@0.315362:0.537112:0.320599:0.537112:0.320599:0.527531:0.315362:0.527531:0.000000
   :@0.320551:0.543176:0.343781:0.543176:0.343781:0.526742:0.320551:0.526742:0.000000:0.000000:0.000000
2:@0.324509:0.542621:0.339842:0.542621:0.339842:0.528905:0.324509:0.528905:0.000000
b:@0.343708:0.543176:0.352967:0.543176:0.352967:0.526770:0.343708:0.526770:0.000000
3:@0.352886:0.537112:0.358123:0.537112:0.358123:0.527531:0.352886:0.527531:0.000000
a:@0.311349:0.557150:0.320608:0.557150:0.320608:0.540744:0.311349:0.540744:0.000000
   :@0.320535:0.557150:0.343765:0.557150:0.343765:0.540716:0.320535:0.540716:0.000000:0.000000:0.000000
2:@0.324492:0.556595:0.339826:0.556595:0.339826:0.542879:0.324492:0.542879:0.000000
b:@0.343691:0.557150:0.352950:0.557150:0.352950:0.540744:0.343691:0.540744:0.000000
       :@0.361730:0.548524:0.422481:0.548524:0.422481:0.532090:0.361730:0.532090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.365688:0.547969:0.381021:0.547969:0.381021:0.534253:0.365688:0.534253:0.000000
a:@0.384886:0.548524:0.394145:0.548524:0.394145:0.532118:0.384886:0.532118:0.000000
2:@0.394060:0.542460:0.399297:0.542460:0.399297:0.532879:0.394060:0.532879:0.000000
1:@0.403208:0.547969:0.418542:0.547969:0.418542:0.534253:0.403208:0.534253:0.000000
ab   b:@0.422407:0.548524:0.471775:0.548524:0.471775:0.532118:0.422407:0.532118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.444036:0.547969:0.459369:0.547969:0.459369:0.534253:0.444036:0.534253:0.000000
2:@0.471705:0.542460:0.476942:0.542460:0.476942:0.532879:0.471705:0.532879:0.000000
Si, por el contrario, es la suma, tenemos::@0.080653:0.572313:0.368614:0.572313:0.368614:0.555879:0.080653:0.555879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.306169:0.597995:0.315428:0.597995:0.315428:0.581589:0.306169:0.581589:0.000000
3:@0.315362:0.591931:0.320599:0.591931:0.320599:0.582350:0.315362:0.582350:0.000000
   :@0.320551:0.597995:0.343781:0.597995:0.343781:0.581562:0.320551:0.581562:0.000000:0.000000:0.000000
1:@0.324509:0.597441:0.339842:0.597441:0.339842:0.583725:0.324509:0.583725:0.000000
b:@0.343708:0.597995:0.352967:0.597995:0.352967:0.581589:0.343708:0.581589:0.000000
3:@0.352886:0.591931:0.358123:0.591931:0.358123:0.582350:0.352886:0.582350:0.000000
a:@0.311349:0.611971:0.320608:0.611971:0.320608:0.595565:0.311349:0.595565:0.000000
   :@0.320535:0.611971:0.343765:0.611971:0.343765:0.595537:0.320535:0.595537:0.000000:0.000000:0.000000
1:@0.324492:0.611416:0.339826:0.611416:0.339826:0.597700:0.324492:0.597700:0.000000
b:@0.343691:0.611971:0.352950:0.611971:0.352950:0.595565:0.343691:0.595565:0.000000
       :@0.361730:0.603345:0.422481:0.603345:0.422481:0.586911:0.361730:0.586911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.365688:0.602790:0.381021:0.602790:0.381021:0.589074:0.365688:0.589074:0.000000
a:@0.384886:0.603345:0.394145:0.603345:0.394145:0.586939:0.384886:0.586939:0.000000
2:@0.394060:0.597281:0.399297:0.597281:0.399297:0.587700:0.394060:0.587700:0.000000
2:@0.403208:0.602790:0.418542:0.602790:0.418542:0.589074:0.403208:0.589074:0.000000
ab   b:@0.422407:0.603345:0.471775:0.603345:0.471775:0.586939:0.422407:0.586939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.444036:0.602790:0.459369:0.602790:0.459369:0.589074:0.444036:0.589074:0.000000
2:@0.471705:0.597281:0.476942:0.597281:0.476942:0.587700:0.471705:0.587700:0.000000
Ejemplo 2:@0.073089:0.654840:0.148872:0.654840:0.148872:0.638170:0.073089:0.638170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula el cociente :@0.073089:0.689344:0.212951:0.689344:0.212951:0.672910:0.073089:0.672910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
216    8:@0.340731:0.722181:0.413958:0.722181:0.413958:0.705747:0.340731:0.705747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.367440:0.722181:0.376699:0.722181:0.376699:0.705775:0.367440:0.705775:0.000000
3:@0.376628:0.716117:0.381865:0.716117:0.381865:0.706536:0.376628:0.706536:0.000000
2:@0.385777:0.721626:0.401110:0.721626:0.401110:0.707911:0.385777:0.707911:0.000000
q r:@0.413866:0.722181:0.433528:0.722181:0.433528:0.705775:0.413866:0.705775:0.000000:0.000000:0.000000
3 9:@0.423056:0.716117:0.438700:0.716117:0.438700:0.706536:0.423056:0.706536:0.000000:0.000000:0.000000
6    2:@0.354822:0.736157:0.405056:0.736157:0.405056:0.719723:0.354822:0.719723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.363732:0.736157:0.372990:0.736157:0.372990:0.719751:0.363732:0.719751:0.000000
2:@0.376874:0.735602:0.392208:0.735602:0.392208:0.721886:0.376874:0.721886:0.000000
qr:@0.404964:0.736157:0.419432:0.736157:0.419432:0.719751:0.404964:0.719751:0.000000:0.000000
3:@0.419370:0.730093:0.424607:0.730093:0.424607:0.720512:0.419370:0.720512:0.000000
Solución:@0.073089:0.762040:0.139222:0.762040:0.139222:0.745370:0.073089:0.745370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6    2:@0.073089:0.796544:0.123322:0.796544:0.123322:0.780110:0.073089:0.780110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.081998:0.796544:0.091257:0.796544:0.091257:0.780138:0.081998:0.780138:0.000000
2:@0.095141:0.795989:0.110474:0.795989:0.110474:0.782273:0.095141:0.782273:0.000000
qr:@0.123230:0.796544:0.137698:0.796544:0.137698:0.780138:0.123230:0.780138:0.000000:0.000000
3:@0.137637:0.790488:0.142874:0.790488:0.142874:0.780906:0.137637:0.780906:0.000000
 es la diferencia de los cubos perfectos 216    8:@0.142828:0.796551:0.498357:0.796551:0.498357:0.780117:0.142828:0.780117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.451830:0.796551:0.461089:0.796551:0.461089:0.780145:0.451830:0.780145:0.000000
3:@0.461027:0.790488:0.466264:0.790488:0.466264:0.780906:0.461027:0.780906:0.000000
2:@0.470176:0.795997:0.485509:0.795997:0.485509:0.782281:0.470176:0.782281:0.000000
q r:@0.498265:0.796551:0.517927:0.796551:0.517927:0.780145:0.498265:0.780145:0.000000:0.000000:0.000000
3 9:@0.507455:0.790488:0.523097:0.790488:0.523097:0.780906:0.507455:0.780906:0.000000:0.000000:0.000000
Por lo tanto::@0.073089:0.831062:0.160417:0.831062:0.160417:0.814628:0.073089:0.814628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
216    8:@0.249796:0.863891:0.323025:0.863891:0.323025:0.847458:0.249796:0.847458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.276505:0.863891:0.285763:0.863891:0.285763:0.847485:0.276505:0.847485:0.000000
3:@0.285695:0.857828:0.290932:0.857828:0.290932:0.848247:0.285695:0.848247:0.000000
2:@0.294843:0.863337:0.310176:0.863337:0.310176:0.849621:0.294843:0.849621:0.000000
q r:@0.322933:0.863891:0.342595:0.863891:0.342595:0.847485:0.322933:0.847485:0.000000:0.000000:0.000000
3 9:@0.332123:0.857828:0.347767:0.857828:0.347767:0.848247:0.332123:0.848247:0.000000:0.000000:0.000000
6    2:@0.263889:0.877867:0.314122:0.877867:0.314122:0.861433:0.263889:0.861433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.272798:0.877867:0.282057:0.877867:0.282057:0.861461:0.272798:0.861461:0.000000
2:@0.285941:0.877312:0.301274:0.877312:0.301274:0.863596:0.285941:0.863596:0.000000
qr:@0.314030:0.877867:0.328498:0.877867:0.328498:0.861461:0.314030:0.861461:0.000000:0.000000
3:@0.328436:0.871803:0.333673:0.871803:0.333673:0.862222:0.328436:0.862222:0.000000
   36    12:@0.351666:0.869241:0.448043:0.869241:0.448043:0.852807:0.351666:0.852807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.355624:0.868686:0.370957:0.868686:0.370957:0.854970:0.355624:0.854970:0.000000
p:@0.392623:0.869241:0.401881:0.869241:0.401881:0.852835:0.392623:0.852835:0.000000
2:@0.401806:0.863177:0.407043:0.863177:0.407043:0.853596:0.401806:0.853596:0.000000
1:@0.410953:0.868686:0.426286:0.868686:0.426286:0.854970:0.410953:0.854970:0.000000
pqr:@0.447951:0.869241:0.471605:0.869241:0.471605:0.852835:0.447951:0.852835:0.000000:0.000000:0.000000
3:@0.471543:0.863177:0.476780:0.863177:0.476780:0.853596:0.471543:0.853596:0.000000
   4:@0.476734:0.869241:0.508873:0.869241:0.508873:0.852807:0.476734:0.852807:0.000000:0.000000:0.000000:0.000000
1:@0.480691:0.868686:0.496024:0.868686:0.496024:0.854970:0.480691:0.854970:0.000000
q r:@0.508781:0.869241:0.528443:0.869241:0.528443:0.852835:0.508781:0.852835:0.000000:0.000000:0.000000
2 6:@0.517971:0.863177:0.533615:0.863177:0.533615:0.853596:0.517971:0.853596:0.000000:0.000000:0.000000
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