[Solution] Let f(x,y)=2x^2+y^2+2xy+4x+2y+7 . Find the minimum value of the function f(x, y) subject to the constraint


Question: Let \[f(x,y)=2{{x}^{2}}+{{y}^{2}}+2xy+4x+2y+7\] . Find the minimum value of the function f(x, y) subject to the constraint \(4{{x}^{2}}+4xy=1\).

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