\(a,\left(x-1\right)^2\ge0;\left(y+2\right)^2\ge0\) mà
\(\left(x-1\right)^2+\left(y+2\right)^2=0\\ \Rightarrow\left\{{}\begin{matrix}x-1=0\\y+2=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=1\\y=-2\end{matrix}\right.\)
\(b,\left|x+2005\right|\ge0;\left|y+1\right|\ge0\) mà \(\left|x+2005\right|+\left|y+1\right|=0\)
\(\Rightarrow\left\{{}\begin{matrix}x+2005=0\\y+1=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-2005\\y=-1\end{matrix}\right.\)