2x-1 là ước của x-2
=>\(x-2⋮2x-1\)
=>\(2x-4⋮2x-1\)
=>\(2x-1-3⋮2x-1\)
=>\(-3⋮2x-1\)
=>\(2x-1\in\left\{1;-1;3;-3\right\}\)
=>\(2x\in\left\{2;0;4;-2\right\}\)
=>\(x\in\left\{1;0;2;-1\right\}\)
2x - 1 là ước của x - 2
\(\Rightarrow\left(x-2\right)⋮\left(2x-1\right)\)
\(\Rightarrow2\left(x-2\right)⋮\left(2x-1\right)\)
\(\Rightarrow\left(2x-4\right)⋮\left(2x-1\right)\)
\(\Rightarrow\left(2x-1-3\right)⋮\left(2x-1\right)\)
\(\Rightarrow3⋮\left(2x-1\right)\)
\(\Rightarrow2x-1\inƯ\left(3\right)=\left\{-3;-1;1;3\right\}\)
\(\Rightarrow2x\in\left\{-2;0;2;4\right\}\)
\(\Rightarrow x\in\left\{-1;0;1;2\right\}\)
