\(\left(x-2\right)^{2016}+|y^2-9|^{2018}=0\)(*)
Vì \(\left(x-2\right)^{2016}\ge0\)và \(|y^2-9|^{2018}\ge0\)
nên (*)\(\Leftrightarrow\hept{\begin{cases}\left(x-2\right)^{2016}=0\\|y^2-9|^{2018}=0\end{cases}\Leftrightarrow\hept{\begin{cases}x-2=0\\y^2-9=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=2\\\orbr{\begin{cases}y=3\\y=-3\end{cases}}\end{cases}}}}\)