Question

Find the foci of the hyperbola that can be described by the equation

Answer 1

Solution

The two foci are (+ae, 0), and (-ae, 0)

$\begin{gathered} e=\sqrt{1+\frac{b^2}{a^2}} \\ \\ a=6,b=8 \\ \\ \Rightarrow e=\sqrt{1+\frac{64}{36}}=\frac{5}{3} \end{gathered}$$ae=6\times\frac{5}{3}=10$

The answer is