Question

Решите уравнение
$19 |9x + 15| = 114$
2.
$|5x - 8| (x - 6) = 0$
​

Answer 1

$19 \: |9x + 15| = 114 \: \: \: \: \: | \div 19\\ |9x + 15| = 6 \\ 9x + 15 = 6 \\ 9x = 6 - 15 \\ 9x = - 9 \\ \bold{x_1 = - 1} \\ 9x + 15 = - 6 \\ 9x = - 6 - 15 \\ 9x = - 21 \\ x = - \frac{7}{3} \\ \bold{x_2 = - 2 \frac{1}{2}}$

$|5x - 8| (x - 6) = 0 \\ |5x - 8| = 0 \\ 5x = 8 \\ x = \frac{8}{5} \\ \bold{x_1 = 1.6} \\ x - 6 = 0 \\ \bold{x_2 = 6}$