Question

Tìm x biết : (2x+7 ) ⋮(x - 2 )

Answer 1

\(\left(2x+7\right)⋮\left(x-2\right)\\ \Rightarrow\left[\left(2x-4\right)+11\right]⋮\left(x-2\right)\\ \Rightarrow\left[2\left(x-2\right)+11\right]⋮\left(x-2\right)\)

Vì \(2\left(x-2\right)⋮\left(x-2\right)\Rightarrow11⋮\left(x-2\right)\Rightarrow x-2\inƯ\left(11\right)\)

Ta có bảng:
 

x-2	-11	-1	1	11
x	-9	1	3	13

Vậy \(x\in\left\{-9;1;3;13\right\}\)

Answer 2

\(\Leftrightarrow2x-4+11⋮x-2\)

\(\Leftrightarrow x-2\in\left\{1;-1;11;-11\right\}\)

hay \(x\in\left\{3;1;13;-9\right\}\)

Answer 3

Answer 4

 

Answer 5