Bài $9$.
$a$) `( x - 2 )^2 - ( x - 3 ) ( x + 3 ) = 6`
`⇔ x^2 - 4x + 4 - x^2 + 3^2 = 6`
`⇔ -4x +13 = 6`
`⇔ -4x = -9`
`⇔ -4x = -7`
`⇔ x = 7/4`
Vậy `x=7/4`.
$b$) ` ( x - 4 )^2 - ( x - 2 )( x + 2 ) = 6`
`⇔ x^2 - 8x + 16 - x^2 + 2^2 = 6`
`⇔ -8x + 20 = 6`
`⇔ -8x = -14`
`⇔ x = 7/4`
Vậy `x=7/4`.
$c$) `4(x - 3 )^2 - ( 2x - 1 )(2x + 1 ) = 10`
`⇔ 4.(x^2 - 6x + 9) - 4x^2 + 1^2 = 10`
`⇔ 4x^2 - 24x + 36 - 4x^2 + 1 = 10`
`⇔ -24x + 37 = 10`
`⇔ -24x = -27`
`⇔ x = 9/8`
Vậy `x=9/8`.
$d$) `9(x + 1 )^2- ( 3x - 2 ) ( 3x + 2 ) = 10`
`⇔ 9.(x^2 + 2x + 1^2) - 9x^2 + 2^2 = 10`
`⇔ 9x^2 + 18x + 9 - 9x^2 + 4 = 10`
`⇔ 18x + 13 = 10`
`⇔ 18x = -3`
`⇔ x = -1/6`
Vậy `x=-1/6`.