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

SharpEdge asked Aug 28, 2023

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SharpEdge asked Aug 28, 2023

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18 votes

Solution

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

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