# Maxima

Calculus Level pending

If the maximum value in the $$4^\text{th}$$ quadrant of the graph $$y = \dfrac{(x+5)(x+9)}{(x-5)(x-9)}$$ is in the form $$- \dfrac{ \sqrt \alpha + \sqrt \beta}{\sqrt \alpha - \sqrt \beta}$$, find $$\alpha + \beta$$.

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