\(13⋮x+1\)
\(\Rightarrow x+1\inƯ\left(13\right)\)
\(x\in Z\Rightarrow x+1\in Z\)
\(\Rightarrow x+1\in\left\{-1;-13;1;13\right\}\)
\(\Rightarrow x\in\left\{-2;-14;0;12\right\}\)
13 chia hết cho x + 1
\(\Rightarrow\) x + 1\(\in\) Ư( 13 )
Mà Ư(13 ) = { 1 ; 13 ; -1 ; - 13 }
\(\Rightarrow\) x + 1 \(\in\) { 1 ; 13 ; - 1; - 13 }
\(\Rightarrow\) x \(\in\) { 0 ; 12 ; - 2 ; - 14 }
Vậy x \(\in\) { 0 ; 12 ; - 2 ; - 14 } là giá trị cần tìm