# Dare to do

Algebra Level 3

Let x and y be real numbers that satisfy the equation $$x^{ 4 }+{ x }^{ 2 }{ y }^{ 2 }+{ y }^{ 4 }=50$$ Then what is the minimum value of $$2{ x }^{ 2 }+xy+2y^{ 2 }$$ ?

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