Question

Aflati:
B={x€ Z/×-2÷×+2€Z}

Answer 1

$\frac{x-2}{x+2} \in Z \Rightarrow x+2 ~|~x-2. \\ \\ x+2~|~x+2 \Rightarrow x+2 ~|~(x+2)-(x-2) \Leftrightarrow x+2 ~|~4. \\ \\ Deci~x+2 \in D_4= \{-4,-2,-1,1,2,4 \}. \\ \\ x+2=-4 \Rightarrow x=-6. \\ x+2=-2 \Rightarrow x=-4. \\ x+2=-1 \Rightarrow x=-3. \\ x+2=1 \Rightarrow x=-1. \\ x+2=2 \Rightarrow x=0. \\ x+2=4 \Rightarrow x=2. \\ \\ Deci~B= \{-6,-4,-3,-1,0,2 \}.$