Question

[Đỗ Hải Nam]

 x + 4 chia het cho 2x + 1

giup mik giai bai toan vs nha :)

Answer 1

[ILoveMath]

\(\left(x+4\right)⋮\left(2x+1\right)\\ \Rightarrow\left(2x+8\right)⋮\left(2x+1\right)\\ \Rightarrow\left(2x+1+7\right)⋮\left(2x+1\right)\)

 \(Mà\left(2x+1\right)⋮\left(2x+1\right)\Rightarrow7⋮\left(2x+1\right)\Rightarrow2x+1\inƯ\left(7\right)=\left\{\pm1;\pm7\right\}\Rightarrow x\in\left\{-4;-1;0;3\right\}\)

Answer 2

[Nguyễn Lê Phước Thịnh]

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

hay \(x\in\left\{0;3;-1;-4\right\}\)