Question

Розв'яжіть рiвняння |2|x -1|-3|=5.

Answer 1

$\displaystyle\bf\\\Big|2|x-1|-3\Big|=5\\\\\\\left[\begin{array}{ccc}2|x-1|-3=-5\\2|x-1|-3=5\end{array}\right\\\\\\\left[\begin{array}{ccc}2|x-1|=-2\\2|x-1|=8\end{array}\right\\\\\\\left[\begin{array}{ccc}|x-1|=-1\\|x-1|=4\end{array}\right\\\\\\1) \ \ |x-1|=-1\\\\x\in \oslash\\\\2) \ \ |x-1|=4\\\\\\\left[\begin{array}{ccc}x-1=-4\\x-1=4\end{array}\right\\\\\\\left[\begin{array}{ccc}x_{1} =-3\\x_{2} =5\end{array}\right\\\\\\Otvet \ : \ -3 \ \ ; \ \ 5$