Giúp t tìm x với ạ cảm ơn

Đáp án:

Giải thích các bước giải:

`a ) ( 3 x + 2 )^ 2 − ( 3 x + 5 ) ( 3 x + 2 ) = 0`

`=> ( 3 x + 2 ) ( 3 x + 2 − 3 x − 5 ) = 0 `

`=> − 3 ( 3 x + 2 ) = 0 `

`=>3 x + 2 = 0 `

`=>3 x = − 2 `

`=> x = − 2 /3 `

Vậy `x=-2/3`

`b ) ( x + 3 )^ 2 − ( x + 2 ) ( x − 2 ) = 4 x + 17 `

`=> x ^2 + 6 x + 9 − x^ 2 + 4 − 4 x − 17 = 0 `

` =>2 x − 8 = 0 `

`=>2 x = 8 `

`=>x = 4`

Vậy `x=4`

`c ) 3 ( x − 1 )^ 2 + ( x + 5 ) ( 2 − 3 x ) = − 25 `

`=>3 ( x ^2 − 2 x + 1 ) + 2 x − 3 x ^2 + 10 − 15 x + 25 = 0 `

`=> 3 x ^2 − 6 x + 3 + 2 x − 3 x ^2 + 10 − 15 x + 25 = 0`

`=> − 19 x + 38 = 0 `

`=>− 19 x = − 38 `

`=>x = 2 `

Vậy `x=2`

`d ) ( x + 3 )^ 2 + ( x − 2 ) ^2 = 2 x ^2`

`=> x ^2 + 6 x + 9 + x^ 2 − 4 x + 4 − 2 x ^2 = 0`

`=> 2 x + 13 = 0 `

`=>2 x = − 13 `

`=>x = − 13 /2`

Vậy `x=-13/2`