\(\left(2x-10\right)^2+\left(8-y\right)^{10}-10=-10\)
\(\Rightarrow\left(2x-10\right)^2+\left(8-y\right)^{10}=0\)
Vì \(\hept{\begin{cases}\left(2x-10\right)^2\ge0\\\left(8-y\right)^{10}\ge0\end{cases}\Rightarrow\left(2x-10\right)^2+\left(8-y\right)^{10}\ge0}\)
Mà \(\left(2x-10\right)^2+\left(8-y\right)^{10}=0\)
\(\Rightarrow\hept{\begin{cases}\left(2x-10\right)^2=0\\\left(8-y\right)^{10}=0\end{cases}\Rightarrow\hept{\begin{cases}2x-10=0\\8-y=0\end{cases}\Rightarrow}\hept{\begin{cases}x=5\\y=8\end{cases}}}\)
\(\left(2x-10\right)^2+\left(8-y\right)^{10}-10=-10\)
\(\Leftrightarrow\left(2x-10\right)^2+\left(8-y\right)^{10}=0\)
Mà \(\hept{\begin{cases}\left(2x-10\right)^2\ge0\\\left(8-y\right)^{10}\ge0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}\left(2x-10\right)^2=0\\\left(8-y\right)^{10}=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}2x-10=0\\8-y=0\end{cases}}\) \(\Leftrightarrow\hept{\begin{cases}x=5\\y=8\end{cases}}\)
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