Question

Giúp câu ở dưới

Answer 1

<=> (x-1)x(2x+3-2x+3)=0

<=> 6(x-1)= 0 <=> x= 1

Answer 2

`(2x+3)(x-1)+(2x-3)(1-x)=0`

\(\Leftrightarrow2x^2-2x+3x-3+2x-2x^2-3+3x=0\)

\(\Leftrightarrow6x-6=0\)

\(\Leftrightarrow6x=6\Leftrightarrow x=1\)

Answer 3

`x(x-4)=2x-8`

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

`<=>x^2-6x+8=0`

`<=>(x-3)^2-1=0`

`<=>(x-3)^2=1`

`<=>|x-3|=1`

`<=>x-3=+-1<=>x=4` hoặc `x=2`

Vậy `S={2;4}`

_______________________________________________________

`(2x+3)(x-1)+(2x-3)(1-x)=0`

`<=>(2x+3)(x-1)-(2x-3)(x-1)=0`

`<=>(x-1)(2x+3-2x+3)=0`

`<=>x-1=0`

`<=>x=1`

Vậy `S={1}`