Question

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

Answer 1

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)

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

3)

$\displaystyle \tt |2x|+3|2x|=2,4\\\displaystyle \tt 2|x|+3\cdot2\cdot|x|=2,4\\\displaystyle \tt (1+3)\cdot2\cdot|x|=2,4\\\displaystyle \tt 4\cdot2\cdot|x|=2,4\\\displaystyle \tt 8\cdot|x|=2,4\\\displaystyle \tt |x|=2,4\div8\\\displaystyle \tt |x|=0,3\\\displaystyle \tt \bold{x_1=0,3}\\\displaystyle \tt \bold{x_2=-0,3}$