\(\left|3x-1\right|=\left|2x+5\right|\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-1=2x+5\\3x-1=-\left(2x+5\right)\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=6\\x=-\dfrac{4}{5}\end{matrix}\right.\)
Vậy...
`|3x-1|=|2x+5|`
Trường hợp 1 :
`3x-1=2x+5`
`<=>x=6`
Trường hợp 2 :
`-(3x-1)=2x+5`
`<=>-3x+1=2x+5`
`<=>-5x=4`
`<=>x=-4/5`
Vậy `S={6;-4/5}`
Ta có: \(\left|3x-1\right|=\left|2x+5\right|\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-1=2x+5\\3x-1=-2x-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x-2x=5+1\\3x+2x=-5+1\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=6\\5x=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=6\\x=-\dfrac{4}{5}\end{matrix}\right.\)