Question

Aflati numerele intregi pentru care:
6/x-2 apartine multimii Z​

Answer 1

x-2 se împarte exact la 6

x-2 aparține divizorilor lui 6

D6={-6;-3;-2;-1;1;2;3;6}

x-2=-6→x=-6+2→x=-4

x-2=-3→x=-3+2→x=-1

x-2=-2→x=-2+2→x=0

x-2=-1 →x=-1+2→x=1

x-2=1→x=1+2→x=3

x-2=2→x=2+2→x=4

x-2=3→x=3+2→x=5

x-2=6→x=6+2→x=8

x={-4;-1;0;1;3;4;5;8}