Question

\(\left|2x-1\right|=x\)

 

Answer 1

\(\left|2x-1\right|=x\)

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

\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{1}{3}\end{matrix}\right.\)

Answer 2

\(\Rightarrow\left[{}\begin{matrix}2x-1=x\\2x-1=-x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x-1=0\\3x-1=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{1}{3}\end{matrix}\right.\)

Answer 3

Giải : \(|2x-1|=x \Leftrightarrow \begin{cases} 2x-1=x\\ 2x-1=-x \end{cases} \begin{cases} x=1\\ x=\dfrac{1}{3} \end{cases} \)

Answer 4

vì \(\left|2x-1\right|\) \(\ge\) 0

=> x \(\ge\) 0

+)  2x -1 = x

<=> 2x -x = 1

=> x = 1 (t/m)

+) 2x -1 = -x

<=> 2x +x = 1

<=> 3x =1

=> x = 1/3 ( t/m )