Question

Решите уравнение (3x-2)(x+4)>-11

Answer 1

$3 {x}^{2} + 12x - 2x - 8 > - 11 \\ 3 {x}^{2} + 10x - 8 + 11 > 0 \\ 3 {x}^{2} + 10x + 3 > 0 \\ x1 = - 3 \\ x2 = - \frac{1}{3} \\ (x + 3)(x + \frac{1}{3} ) > 0$