a/ \(6⋮x-1\)
\(\Leftrightarrow x-1\inƯ\left(6\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=1\\x-1=2\\x-1=3\\x-1=6\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=3\\x=4\\x=7\end{matrix}\right.\)
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b/ \(15⋮2x+1\)
\(\Leftrightarrow2x+1\inƯ\left(15\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+1=1\\2x+1=3\\2x+1=5\\2x+1=15\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\\x=2\\x=7\end{matrix}\right.\)
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c/ \(x+16⋮x+1\)
Mà \(x+1⋮x+1\)
\(\Leftrightarrow15⋮x+1\)
\(\Leftrightarrow x+1\inƯ\left(15\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}x+1=1\\x+1=3\\x+1=5\\x+1=15\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\\x=4\\x=14\end{matrix}\right.\)
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