Question

|3x+2|=|4x-3|

Answer 1

=>4x-3=3x+2 hoặc 4x-3=-3x-2

=>x=5 hoặc 7x=1

=>x=5 hoặc x=1/7

Answer 2

`|3x+2|=|4x-3|`

`<=>(|3x+2|)^2=(|4x-3|)^2`

`<=>9x^2+12x+4=16x^2-24x+9`

`<=>7x^2-36x+5=0`

`<=>7x^2-35x-x+5=0`

`<=>7x(x-5)-(x-5)=0`

`<=>(x-5)(7x-1)=0`

`<=>` $\left[\begin{matrix} x-5=0\\ 7x-1=0\end{matrix}\right.$

`<=>` $\left[\begin{matrix} x=5\\ x=\dfrac{1}{7}\end{matrix}\right.$

Vậy `S={5;1/7}`