Question

помогите пожалуйста решить
х*(х-2)+7-(3х-2)²​

Answer 1

$x(x - 2) + 7 - (3x - 2)^{2} = {x}^{2} - 2x + 7 - (9 {x}^{2} - 12x + 4) = \\ = {x}^{2} - 2x + 7 - 9 {x}^{2} + 12x - 4 = - 8 {x}^{2} + 10x + 3 = - 8( x + \frac{1}{4})(x - \frac{3}{2}) = \\ = - ( 4x + 1)( 2x - 3) \\ d = 100 + 96 = 196 \\ x1 = \frac{ - 10 + 14}{ - 16} = - \frac{1}{4} \\ x2 = \frac{ - 10 - 14}{ - 16} = \frac{3}{2}$