a/ \(-3⋮x-2\)
\(\Leftrightarrow x-2\inƯ\left(-3\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=1\\x-2=3\\x-2=-1\\x-2=-3\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=5\\x=1\\x=-1\end{matrix}\right.\)
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b/ \(-5⋮x-4\)
\(\Leftrightarrow x-4\inƯ\left(-5\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}x-4=1\\x-4=5\\x-4=-1\\x-4=-5\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=9\\x=3\\x=-1\end{matrix}\right.\)
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c/ \(2x-9⋮x-5\)
Mà \(x-5⋮x-5\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x-9⋮x-5\\2x-10⋮x-5\end{matrix}\right.\)
\(\Leftrightarrow19⋮x-5\)
\(\Leftrightarrow x-5\inƯ\left(19\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}x-5=1\\x-5=19\\x-5=-1\\x-5=-19\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=6\\x=24\\x=4\\x=-14\end{matrix}\right.\)
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