Giải PT: |x-2|=3x nhanh ạ

`\color{lightsteelblue}{Answer}`

`|x-2|=3x` `(x>=0)` 

`\color{lightsteelblue}{\text{𝟙)}}`

`<=>(x-2)^2=9x^2`

`<=>x^2-4x+4=9x^2`

`<=>8x^2+4x-4=0`

`<=>2x^2+x-1=0`

`<=>(2x^2+2x)-(x+1)=0`

`<=>(x+1)(2x-1)=0`

`<=>x=-1; x=1/2`

Mà `x>=0->x=1/2`

Vậy `S={1/2}`

`\color{lightsteelblue}{\text{𝟚)}}`

`<=>`\(\left[ \begin{array}{l}x-2=3x\\-x+2=3x\end{array} \right.\) 

`<=>`\(\left[ \begin{array}{l}-2x=2\\4x=2\end{array} \right.\) 

`<=>`\(\left[ \begin{array}{l}x=-1\\x=\frac{1}{2}\end{array} \right.\) 

Mà `x>=0->x=1/2`

Vậy `S={1/2}`