Algebra Level 4

$\large f(x,y)=14x^2+9y^2+22xy-42x-34y+35$

Let reals $$x$$ and $$y$$ satisfying $$x\leq 2$$ and $$x+y \geq 2$$.

Find the minimum value of $$f(x,y)$$.

Give your answer to 2 decimal places.

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