Question

Tìm x biết

|x-1|=2x-1

Answer 1

\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{1}{2}\\\left(2x-1-x+1\right)\left(2x-1+x-1\right)=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{1}{2}\\x\cdot\left(3x-2\right)=0\end{matrix}\right.\Leftrightarrow x=\dfrac{2}{3}\)

Answer 2

`@ x >= 1 -> x - 1 = 2x - 1`

`<=> 0 = x`

`-> x = 0 (ktm)`

`@ x < 1 -> 1 - x = 2x - 1`

`<=> 3x = 2`

`<=> x = 2/3 ( tm)`