\(E=2x^2+3y^2+4x-12y+14\)\(=2\left(x^2+2x+1\right)+3\left(y^2-4y+4\right)\)\(=2\left(x-1\right)^2+3\left(y-2\right)^2\ge0\)\(minE=0\Leftrightarrow\) \(\left\{{}\begin{matrix}x=1\\y=2\end{matrix}\right.\)Câu trả lời: \(E=2x^2+3y^2+4x-12y+14\)\(=2\left(x^2+2x+1\right)+3\left(y^2-4y+4\right)\)\(=2\left(x-1\right)^2+3\left(y-2\right)^2\ge0\)\(minE=0\Leftrightarrow\) \(\left\{{}\begin{matrix}x=1\\y=2\end{matrix}\right.\)