Question

решите уравнения
5 |-х| - 2 |-х| = 18;

4 |3х| + 5 |3х| = 8,1

Answer 1

1) 3|-x| = 18

|-x| = 6

x1 = - 6; x2 = 6

2) 9|3x| = 8,1

|3x| = 0,9

|x| = 0,3

x1 = -0,3; x2 = 0,3

Answer 2

$5 |-x| - 2 |-x| = 18 \ 3 |-x|=18 \ |-x cdot x|=6 \ |-1 cdot x|=6 \ |-1| cdot |x|=6 \ |x|=6 \ x_{1,2}=±6$
$4 cdot |3x| + 5 cdot |3x| = 8,1 \ 9 cdot |3x| = 8,1 \ |3 | cdot | x| =0,9 \ | x| =0,3 \ x_{1,2}=±0,3$