Question

Решите в целых числах уравнение: (x-y)(x+2)=5
Если можно с решением.

Answer 1

множители числа 5: -1; -5; 5;1
$left { {{x-y=-1} atop {x+2=-5}} right. to left { {{x-y=-1} atop {x=-7}} right. to left { {{y=-6} atop {x=-7}} right. \ \ left { {{x-y=-5} atop {x+2=-1}} right. to left { {{y=2} atop {x=-3}} right. \ \ left { {{x-y=1} atop {x+2=5}} right. to left { {{y=2} atop {x=3}} right. \ \ left { {{x-y=5} atop {x+2=1}} right. to left { {{y=-6} atop {x=-1}} right.$