# What A Lucky Coincidence

Level pending

The area, in the Cartesian plane, between the two parabolas $$\alpha$$ ($$y + \frac{a}{b} = x^2$$) and $$\beta$$ ($$y + x^2 = \frac{a}{b}$$) is $$\frac{a}{b}$$, for positive integer coprime values of $$a$$ and $$b$$.

Evaluate $$a+b$$.

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