\(17⋮\left(x-1\right)\Rightarrow\left(x-1\right)\inƯ\left(17\right)=\left\{1;-1;17;-17\right\}\)
Mà \(\left(x-1\right)⋮17\)
\(\Rightarrow\left(x-1\right)\in\left\{17;-17\right\}\)
\(\Rightarrow x\in\left\{18;-16\right\}\)
\(17⋮\left(x-1\right)\\ \Rightarrow x-1\inƯ\left(17\right)=\left\{-17;-1;1;17\right\}\)
Mà \(x-1⋮17\Rightarrow x-1\in\left\{-17;17\right\}\)
\(\Rightarrow x\in\left\{-16;18\right\}\)
\(\left\{{}\begin{matrix}17⋮x-1\\x-1⋮17\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-1\in\left\{1;-1;17;-17\right\}\\x-1\in\left\{17;34;...\right\}\end{matrix}\right.\)
hay \(x\in\left\{18;-16\right\}\)
