\(2x+3⋮x-2\)
mà \(x-2⋮x-2\Rightarrow2\left(x-2\right)⋮x-2\)
\(\Leftrightarrow2x-4⋮x-2\)
\(\Rightarrow\left(2x+3\right)-\left(2x-4\right)⋮x-2\)
\(\Rightarrow2x+3-2x+4⋮x-2\)
\(\Rightarrow7⋮x-2\Leftrightarrow x-2\inƯ_{\left(7\right)}=\left\{1;7\right\}\)
x - 2 | 1 | 7 |
x | 3 | 9 |
Vậy \(x\in\left\{3;9\right\}\)