Question

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

Answer 1

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

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