Ta có :
\(x+6⋮x-4\)
Mà \(x-4⋮x-4\)
\(\Leftrightarrow10⋮x-4\)
Vì \(x\in N\Leftrightarrow x-4\in N;x-4\inƯ\left(10\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}x-4=1\\x-4=2\\x-4=5\\x-4=10\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=6\\x=9\\x=14\end{matrix}\right.\)
Vậy ..
