Question

multimea A={x apartine lui Z | x+4/x+1 apartine lui Z } este egala cu ?

Answer 1

Conditii de existenta x+1≠0
x≠-1

(x+1+3)/(x+1)∈Z
(x+1)/(x+1)+ 3/(x+1)∈Z
1+3/(x+1)∈Z

3/(x+1)∈Z
 x+1∈D3Z={1;-1;3;-3}
x+1=1    x=0
x+1=-1   x=-2
 x+1=3    x=2
x+1=-3    x=-4

deci x∈{-2;0;2;4}