Question

||x-1|-4|=3 Решите уравнение с модулем

Answer 1

$||x-1|-4|=3Leftrightarrow left [ {{|x-1|-4=3} atop {|x-1|-4=-3}} right. Leftrightarrow left [ {{|x-1|=7} atop {|x-1|=1}} right. Leftrightarrow$

$left [ {{ left [ {{x-1=7} atop {x-1=-7}} right. } atop { left [ {{x-1=1} atop {x-1=-1}} right. }} right.$

Ответ: 8; - 6; 2; 0