25(x-1)^2 + 16y^2 = 100 \\ \\ \frac{(x-1)^2}{4} + \frac{y^2}{\frac{25}{4}} = 1 \\ a<b\\ b^2e^2 = b^2 - a^2 \\ be = \pm \sqrt{b^2 - a^2}\\ (1, \pm be) = \left ( 1,\pm \sqrt{\frac{25}{4}-4} \right ) \\ \\ ~~~~~~~~~~~= \left ( 1, \pm\sqrt{\frac{9}{4}} \right ) \\ \\ ~~~~~~~~~~~= \left ( 1, \pm...