Math Problem Solver

The graph of the equation $25 {x}^{2} - 48 {y}^{2} - 1225 = 0$ is a hyperbola.

The coordinates of its foci are: $\left(\frac{7 \sqrt{219}}{12}, 0\right)$ and $\left(- \frac{7 \sqrt{219}}{12}, 0\right)$.

The coordinates of its vertices are: $\left(7, 0\right)$ and $\left(-7, 0\right)$.

The asymptotes have equations: $35 \sqrt{3} x + 84 y = 0$ and $35 \sqrt{3} x - 84 y = 0$.