\(a.6⋮\left(x-1\right)\)
\(\Rightarrow x-1\inƯ\left(6\right)\)
\(\LeftrightarrowƯ\left(6\right)=\left\{1;2;3;6\right\}\)
\(\Rightarrow x\in\left\{2;3;4;7\right\}\)
\(b.14⋮\left(2x+3\right)\)
\(\Rightarrow2x+3\inƯ\left(14\right)\)
\(\LeftrightarrowƯ\left(14\right)=\left\{1;2;7;14\right\}\)
\(\Rightarrow x\in\left\{2\right\}\)
a) \(6⋮\left(x-1\right)\)
\(\Rightarrow\left(x-1\right)\inƯ\left(6\right)\)
mà \(Ư\left(6\right)=\left\{1;2;3;6\right\}\)
\(\Rightarrow\hept{\begin{cases}x-1=1\\x-1=2\\x-1=3;x-1=6\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=2\\x=3\\x=4;x=7\end{cases}}\)
b) \(14⋮\left(2x+3\right)\)
\(\Rightarrow\left(2x+3\right)\inƯ\left(14\right)\)
mà \(Ư\left(14\right)=\left\{1;2;7;14\right\}\)
\(\Rightarrow\left(2x+3\right)=1\)
\(\Rightarrow x=2\)