Question

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

Answer 1

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

`\begin{gathered} e=\sqrt{1+(b^2)/(a^2)} \\ \\ a=6,b=8 \\ \\ \Rightarrow e=\sqrt{1+(64)/(36)}=(5)/(3) \end{gathered}`
`ae=6*(5)/(3)=10`

The answer is