Question

Giải phương trình: I5-IxII=3

Answer 1

\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x\ge0\\\left|5-x\right|=3\end{matrix}\right.\\\left\{{}\begin{matrix}x< 0\\\left|5+x\right|=3\end{matrix}\right.\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x\ge0\\\left[{}\begin{matrix}5-x=3\\5-x=-3\end{matrix}\right.\end{matrix}\right.\\\left\{{}\begin{matrix}x< 0\\\left[{}\begin{matrix}5+x=3\\5+x=-3\end{matrix}\right.\end{matrix}\right.\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=2\left(nhận\right)\\x=8\left(nhận\right)\\x=-2\left(nhận\right)\\x=-8\left(nhận\right)\end{matrix}\right.\)