Question

7|х|-6|х|=1, |-х|+4|-х|=9, |2х|+3|2х|=2,4 . Помогите решить пожалуйста.

Answer 1

1) 1|x|=1 x=-1 x=1 Ответ: x=+-1

Answer 2

1)

$displaystyle tt 7|x|-6|x|=1\displaystyle tt |x|=1\displaystyle tt bold{x_1=1}\displaystyle tt bold{x_2=-1}$

2)

$displaystyle tt |-x|+4|-x|=9\displaystyle tt |x|+4|x|=9\displaystyle tt 5|x|=9\displaystyle tt |x|=9div5\displaystyle tt bold{x_1=1,8}\displaystyle tt bold{x_2=-1,8}$

3)

$displaystyle tt |2x|+3|2x|=2,4\displaystyle tt 2|x|+3cdot2cdot|x|=2,4\displaystyle tt (1+3)cdot2cdot|x|=2,4\displaystyle tt 4cdot2cdot|x|=2,4\displaystyle tt 8cdot|x|=2,4\displaystyle tt |x|=2,4div8\displaystyle tt |x|=0,3\displaystyle tt bold{x_1=0,3}\displaystyle tt bold{x_2=-0,3}$