Question

giải phương trình \(\left|2\right|2x-5\left|-3\right|=7\)

Answer 1

\(\Leftrightarrow\left[{}\begin{matrix}2\left|2x-5\right|-3=7\\2\left|2x-5\right|-3=-7\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}2\left|2x-5\right|=10\\2\left|2x-5\right|=-4\left(l\right)\end{matrix}\right.\)

\(\Rightarrow\left|2x-5\right|=5\Rightarrow\left[{}\begin{matrix}2x-5=-5\\2x-5=5\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=5\end{matrix}\right.\)