Question

((х) - 2) = 6. Решите пожалуйста, "("-это модуль

Answer 1

! !x! - 2! = 6

1) !x! - 2 = 6
!x! = 8
x1 = - 8;
x2 = 8

2) !x! - 2 = - 6
!x! = - 4
нет решений

ОТВЕТ
- 8; 8 

Answer 2

$|\, |x|-2|=6\; \; \Rightarrow \; \; \; |x|-2=\pm 6\\\\ \left [ {{|x|-2=6} \atop {|x|-2=-6}} \right. \; \left [ {{|x|=8} \atop {|x|=-4}} \right. \; \left [ {{x=\pm 8} \atop {x\in \varnothing}} \right. \\\\Otvet:\; \; x=-8\; \; ili\; \; x=8\; .$