# Leave out all the rest!

Algebra Level 5

$\large 3x^{2} - 18x + 4y^{2} -32y +91 = 300$

Given that $$x, y$$ are real numbers that satisfy the equation above, find the maximum value of $$x^{2} + y^{2} +2xy -14x-14y +49$$.

PS : This problem can also be solved without using Jensen's Inequality.

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