\(x^2+2xy+6x+6y+2y^2+8=0\)
\(\Leftrightarrow\left(x+y\right)^2+6\left(x+y\right)+y^2=-8\)
\(y^2\ge0\Rightarrow\left(x+y\right)^2+6\left(x+y\right)\le-8\)
\(\Leftrightarrow\left(x+y\right)^2+6\left(x+y\right)+9\le1\)
\(\Leftrightarrow\left(x+y+3\right)^2\le1\rightarrow\left|x+y+3\right|\le1\)
\(\Rightarrow-1\le x+y+3\le1\Leftrightarrow2012\le B\le2014\)
dấu = xảy ra: #MIn: \(\left\{\begin{matrix}x+y+2016=2012\\y=0\end{matrix}\right.\Leftrightarrow\left\{\begin{matrix}x=-4\\y=0\end{matrix}\right.\)
#MAX:\(\left\{\begin{matrix}x+y+2016=2014\\y=0\end{matrix}\right.\Leftrightarrow\left\{\begin{matrix}x=-2\\y=0\end{matrix}\right.\)
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