(x-2017)^2020=1 x-2017=-1=>x=2016
=>x-2017=1
=>x=2018
kl x=2018 hoac x=2016
\(\left(x-2017\right)^{2020}=1\)
\(\Leftrightarrow\left(x-2017\right)^{2020}=1^{2020}\)
\(\Leftrightarrow x-2017=\pm1\)
\(\Leftrightarrow\orbr{\begin{cases}x-2017=1\\x-2017=-1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2018\\x=2016\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2018\\x=2016\end{cases}}\)