\(x^2+5⋮x-1\)
Mà \(x-1⋮x-1\)
\(\Leftrightarrow\left\{{}\begin{matrix}x^2+5⋮x-1\\x^2-x⋮x-1\end{matrix}\right.\)
\(\Leftrightarrow x+5⋮x-1\)
Mà \(x-1⋮x-1\)
\(\Leftrightarrow4⋮x-1\)
\(\Leftrightarrow x-1\inƯ\left(4\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=1\\x-1=2\\x-1=4\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=3\\x=5\end{matrix}\right.\)
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