\(x^{2016}=x^{2017}\)
\(\Leftrightarrow0=x^{2017}-x^{2016}\)
\(\Leftrightarrow0=x^{2016}\left(x-1\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}x^{2016}=0\\x-1=0\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)\(\left(TM\right)\)
Vậy \(x\in\left\{0;1\right\}\) là giá trị cần tìm
