\(5n-8⋮4-n\)
Mà \(-n+4⋮4-n\)
\(\Leftrightarrow\left\{{}\begin{matrix}5n-8⋮4-n\\-5n+20⋮4-n\end{matrix}\right.\)
\(\Leftrightarrow12⋮4-n\)
\(\Leftrightarrow4-n\inƯ\left(12\right)\)
Tự xét tiếp!
Theo đề bài ta có:
5n - 8 \(⋮\) 4 - n
Mà - n \(⋮\) - n
\(\Rightarrow\) \(\left\{{}\begin{matrix}5n-8⋮4-n\\-5n+20⋮4-n\end{matrix}\right.\)
\(\Leftrightarrow\) 12 \(⋮\) 4 - n
\(\Leftrightarrow\) 4 - n \(\in\) Ư(12)
\(\Leftrightarrow\) 4 - n \(\in\) { 1;2;3;4;6;12 }
\(\Leftrightarrow\) n \(\in\){ 5;6;7;8;10;16}
Vậy n \(\in\) { 5;6;7;8;10;16 }