Question

(x-2)/(x+2) aparține Z, help! Va mulțumesc!

Answer 1

Rezolvarea este in poza

Answer 2

$\it \dfrac{x-2}{x+2} =\dfrac{x+2-4}{x+2}=\dfrac{x+2}{x+2}-\dfrac{4}{x+2}=1-\dfrac{4}{x+2}\in\matbb{Z} \Rightarrow x+2|4 \Rightarrow \\ \\ \\ \Rightarrow x+2\in\{-4, -2,-1\ ,1,\ 2,\ 4\}|_{-2} \Rightarrow x\in\{-6\ ,-4,\ -3,\ -1,\ 0,\ 2\}$