\(\left(x^2-9\right)^6>=0\forall x\)
\(\left|2021x^2-6063x\right|>=0\forall x\)
\(\left(y-5\right)^{2022}>=0\forall y\)
Do đó: \(\left(x^2-9\right)^6+\left|2021x^2-6063x\right|+\left(y-5\right)^{2022}>=0\forall x,y\)
mà \(\left(x^2-9\right)^6+\left|2021x^2-6063x\right|+\left(y-5\right)^{2022}< =0\)
nên \(\left\{{}\begin{matrix}x^2-9=0\\2021x^2-6063x=0\\y-5=0\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}\left(x-3\right)\left(x+3\right)=0\\2021x\left(x-3\right)=0\\y-5=0\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x\in\left\{3;-3\right\}\\x\in\left\{0;3\right\}\\y=5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=3\\y=5\end{matrix}\right.\)
