Question

|x-3|=2x-1

 

Answer 1

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

 `@` Với `x-3 >= 0 <=>x >= 3`

        `=>|x-3|=x-3`

 `=>x-3=2x-1`

`<=>x=-2` (ko t/m)

`@` Với `x-3 < 0<=>x < 3`

          `=>|x-3|=3-x`

   `=>3-x=2x-1`

`<=>3x=4`

`<=>x=4/3`(t/m)

Vậy `S={4/3}`

Answer 2

\(\left|x-3\right|=2x-1\)

\(\Leftrightarrow\left[{}\begin{matrix}x-3=2x-1;x\ge3\\3-x=2x-1;x< 3\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}-x=2\\-3x=-4\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=-2\left(ktm\right)\\x=\dfrac{4}{3}\left(tm\right)\end{matrix}\right.\)

Vậy \(S=\left\{\dfrac{4}{3}\right\}\)

Answer 3