Question

Tìm số nguyên x, biết:
(3x - 5) ⋮ (2x - 1)

Answer 1

\(\Leftrightarrow2x-1\in\left\{1;-1;7;-7\right\}\)

hay \(x\in\left\{1;0;4;-3\right\}\)

Answer 2

\(\Leftrightarrow\left(6x-10\right)⋮\left(2x-1\right)\\ \Leftrightarrow\left[3\left(2x-1\right)-7\right]⋮\left(2x-1\right)\\ \Leftrightarrow2x-1\inƯ\left(-7\right)=\left\{-7;-1;1;7\right\}\\ \Leftrightarrow2x\in\left\{-6;0;2;8\right\}\\ \Leftrightarrow x\in\left\{-3;0;1;4\right\}\)