# Calculus or Algebra?

Algebra Level 3

$f(x,y) = x^{2} + 13y^{2} - 6xy - 4y - 2$

Let $$x$$ and $$y$$ be real numbers. If the minimum value of $$f(x,y)$$ occurs when $$(x,y) = (A,B)$$, find $$A+B$$.

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