Question

tìm x biết : | x - 2 | = x

Answer 1

`|x-2|=x`

ĐK:`x>=0`

`<=>` \(\left[ \begin{array}{l}x-2=x\\x-2=-x\end{array} \right.\) 

`<=>` \(\left[ \begin{array}{l}0=2(vô lý)\\2x=2\end{array} \right.\) 

`<=>x=1`

Vậy `x=1`

Answer 2

|x - 2| = x \(\Rightarrow\) x \(\ge\) 0

\(\Rightarrow\) \(\left[{}\begin{matrix}x-2=x\\x-2=-x\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}0x=2\left(loại\right)\\2x=2\end{matrix}\right.\Rightarrow}x=1}\)

Vậy x = 1