Question

Решите уравнение:
2/3 |5х– 4| + 8,6 = 10

Answer 1

Ответ:

$\dfrac{2}{3}\cdot |5x-4|+8,6=10\\\\\dfrac{2}{3}\cdot |5x-4|=1,4\\\\|5x-4|=1,4:\dfrac{2}{3}\\\\|5x-4|=2,1\ \ \ \Rightarrow \ \ \ \ 5x-4=\pm 2,1\\\\a)\ \ 5x-4=-2,1\ \,\ \ 5x=1,9\ \ ,\ \ x=0,38\\\\b)\ \ 5x-4=2,1\ \ ,\ \ 5x=6,1\ \ ,\ \ x=1,22\\\\Otvet:\ \ x_1=0,38\ \ ,\ \ x_2=1,22\ .$