Question

Помогите пожалуйста решите уравнение даю 30 баллов!

Answer 1

Ответ:

$|3x {}^{2} + 7x | - 6 = 0 \\ | {3x}^{2} + 7x | = 6 \\ \\ 3x {}^{2} + 7x = 6 \\ {3x}^{2} + 7x = - 6 \\ \\ \\ 3x {}^{2} + 7x - 6 = 0 \\ d = 7 {}^{2} - 4 \times 3 \times ( - 6) = 121 \\ x2 = \frac{ - 7 + 11}{2 \times 3} = \frac{4}{6} = \frac{2}{3} \\ x1 = \frac{ - 7 - 11}{2 \times 3} = \frac{ - 18}{6} = - 3$