Question

|2x+1|=|3x-2| tìm x

 

Answer 1

`|2x+1|=|3x-2|`

`->2x+1=3x-2` hay `2x+1=-(3x-2)`

`->2x-3x=-2-1` hay `2x+3x=2-1`

`->-x=-3` hay `5x=1`

`->x=3` hay `x=1/5`

Answer 2

Ta có: \(\left|2x+1\right|=\left|3x-2\right|\)

\(\Leftrightarrow\left[{}\begin{matrix}2x+1=3x-2\\2x+1=2-3x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-x=-3\\5x=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{1}{5}\end{matrix}\right.\)