Question

Решите уравнение: 2/3|5x-4|8,6=10
Помогите пожалуйста срочно нужно!!!​

Answer 1

Решить уравнение:

$\displaystyle \tt \frac{2}{3}\cdot|5x-4|-8,6=10$

Решение:

$\displaystyle \tt \frac{2}{3}\cdot|5x-4|-\frac{43}{5}=10\:\:\:\:\:\:\bigg|\cdot15\\\\ \displaystyle \tt 10\cdot|5x-4|-129=150\\\\ \displaystyle \tt 10\cdot|5x-4|=150+129\\\\ \displaystyle \tt 10\cdot|5x-4|=279\\\\ \displaystyle \tt |5x-4|=\frac{279}{10}\\\\ \displaystyle \tt 5x-4=\frac{279}{10}\\\\ \displaystyle \tt \boxed{\bold{x_1=6,38}}\\\\ \displaystyle \tt 5x-4=-\frac{279}{10}\\\\ \displaystyle \tt \boxed{\bold{x_2=-4,78}}$