Question

Решите уравнение:
4×|5-|3-4х||+8=20
Плиз

Answer 1

$4 \times |5 - |3 - 4x| | + 8 = 20 \\ 4 \times |5 - |3 - 4x| | = 12 \\ |5 - |3 - 4x| | = 3 \\ \\ 5 - |3 - 4x| = 3 \\ 5 - |3 - 4x| = - 3 \\ \\ | 3 - 4x| = 2 \\ |3 - 4x| = 8 \\ \\ 3 - 4x = 2 \\ 3 - 4x = - 2 \\ 3 - 4x = 8 \\ 3 - 4x = - 8 \\ \\ 4x = 1 \\ 4x = 5 \\ 4x = - 5 \\ 4x = 11 \\ \\ x = \frac{1}{4} \\ x = \frac{5}{4} \\ x = - \frac{5}{4} \\ x = \frac{11}{4}$
Ответ: -5/4; 1/4; 5/4; 11/4.