Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be 2a and 2b, respectively, and one focus and the corresponding…

Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be 2a and 2b, respectively, and one focus and the corresponding directrix of this hyperbola be $\displaystyle (-5,0)$ and $\displaystyle 5 x+9=0$, respectively. If the product of the focal distances of a point $\displaystyle (\alpha, 2 \sqrt{5})$ on the hyperbola is p, then $\displaystyle 4$ p is equal to $\displaystyle \_\_\_\_$.