Dấu "=" xảy ra khi \(\left\{\begin{matrix}\left(x-3\right)^2=0\\\left|y+1\right|=0\end{matrix}\right.\)\(\Rightarrow\left\{\begin{matrix}x-3=0\\y+1=0\end{matrix}\right.\)\(\Rightarrow\left\{\begin{matrix}x=3\\y=-1\end{matrix}\right.\)
Vậy \(Min_A=-3\) khi \(\left\{\begin{matrix}x=3\\y=-1\end{matrix}\right.\)