nên \(\Rightarrow\)\(\left(x-178\right)^{214}+\left(1-y\right)^{356}\ge0\forall x;y\)
mà theo đề bài: \(\left(x-178\right)^{214}+\left(1-y\right)^{356}=0\)
nên => \(\left\{{}\begin{matrix}\left(x-178\right)^{214}=0\\\left(1-y\right)^{356}=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x-178=0\\1-y=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=178\\y=1\end{matrix}\right.\)