The hyperbola $$\(H\)$$ has - foci with coordinates $$\(\left( \pm \frac{13}{2}, 0\right)\)$$ - directrices with equations $$\(x= \pm \frac{72}{13}\)$$ - eccentricity $$\(e\)$$ Determine an equation for $$\(H\)$$, giving your answer in the form $$\(p x^{2}-q y^{2}=r\)$$, where $$\(p, q\)$$ and $$\(r\)$$ are integers. (3)

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