Question

Tìm x:
b) x-3 ⋮ x+1
C) 2x+1 ⋮ 3x-2

Answer 1

\(b,\Rightarrow x+1-4⋮x+1\\ \Rightarrow x+1\inƯ\left(4\right)=\left\{-4;-2;-1;1;2;4\right\}\\ \Rightarrow x\in\left\{-5;-3;-2;0;1;3\right\}\\ c,\Rightarrow3\left(2x+1\right)-2\left(3x-2\right)⋮3x-2\\ \Rightarrow6x+3-6x+4⋮3x-2\\ \Rightarrow7⋮3x-2\\ \Rightarrow3x-2\inƯ\left(7\right)=\left\{-7;-1;1;7\right\}\\ \Rightarrow x\in\left\{-\dfrac{5}{3};\dfrac{1}{3}1;3\right\}\)