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40puncte  Rezolvati in multimea numerelor naturale ecuatia xy+x+y=34


Răspuns :

Usor! [tex]xy+x+y=34 <=>x(y+1)+y+1=35<=>(x+1)(y+1)=35[/tex]
[tex]35=5*7[/tex]....mai departe continua tu!

Avem doua cazuri:
1)[tex] \left \{ {{x+1=5} \atop {y+1=7}} \right. => \left \{ {{x=4} \atop {y=6}} \right. [/tex]
2)[tex] \left \{ {{x+1=7} \atop {y+1=5}} \right. => \left \{ {{x=6} \atop {y=4}} \right. [/tex]