Mathematics - Hyperbola Question with Solution | TestHub

Let$a$and$b$respectively be the semi-transverse and semi-conjugate axes of a standard hyperbola whose eccentricity satisfies the equation$9e^2-18e+5=0$. If$S\left(5, 0\right)$is a focus and$5x=9$is the corresponding directrix of this hyperbola, then$a^2-b^2$is equal to