Ta có : \(\hept{\begin{cases}\left(a-2009\right)^2\ge0\forall a\\\left(b+2010\right)^2\ge0\forall b\end{cases}\Rightarrow\left(a-2009\right)^2+\left(b+2010\right)^2\ge0\forall a,b}\)
Dấu "=" xảy ra <=> \(\hept{\begin{cases}\left(a-2009\right)^2=0\\\left(b+2010\right)^2=0\end{cases}\Rightarrow\hept{\begin{cases}a-2009=0\\b+2010=0\end{cases}\Rightarrow}\hept{\begin{cases}a=2009\\b=-2010\end{cases}}}\)
Vậy a = 2009 ; b = - 2010