# Find the equation of the hyperbola with vertices $(\pm 5,0)$,foci $(\pm 7,0)$.
$\begin{array}{1 1}\large\frac{x^2}{25}+\frac{y^2}{24}\normalsize =1\\\large\frac{x^2}{25}-\frac{y^2}{24}\normalsize =1\\\large\frac{y^2}{25}+\frac{x^2}{24}\normalsize =1\\\large\frac{y^2}{24}+\frac{x^2}{25}\normalsize =1\end{array}$