Question

1.  Решите уравнение
0,6|5x-4|+2=5,6                            ​

Answer 1

Ответ:

-0,4; 2.

Пошаговое объяснение:

$0,6\cdot|5x-4|+2=5,6;\\0,6\cdot|5x-4|=5,6-2;\\0,6\cdot|5x-4|=3,6;\\|5x-4|=3,6:0,6;\\|5x-4|=6;\\ \left[\begin{array}{l} 5x - 4 = -6, \\ 5x-4 = 6; \end{array} \right.\Leftrightarrow \left[\begin{array}{l} 5x =4 -6, \\ 5x =4+ 6; \end{array} \right.\Leftrightarrow \left[\begin{array}{l} 5x = -2, \\ 5x = 10; \end{array} \right.\Leftrightarrow \left[\begin{array}{l} x = -2:5, \\ x= 10:5; \end{array} \right.\Leftrightarrow$

$\Leftrightarrow \left[\begin{array}{l} x = -0,4, \\ x = 2. \end{array} \right.$