# A calculus problem by Rocco Dalto

Calculus Level pending

The area of $${\bf 2 x^2 - xy + 2y^2 - 2 = 0 }$$ can be represented as $${\bf \large \frac{a \pi}{\sqrt{b}}, }$$ where $${\bf a}$$ and $${\bf b}$$ are coprime positive integers and $${\bf b}$$ is square free.



Find: $${\bf a + b .}$$

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