Find the coordinates of the foci, the eocentricity, the latus rectum,
and the equations of directrices for the hyperbola `9x^2-16 y^2-72 x+96 y-144=0`
Text Solution
AI Generated Solution
To solve the given hyperbola equation \(9x^2 - 16y^2 - 72x + 96y - 144 = 0\), we will follow these steps:
### Step 1: Rearranging the Equation
We start by rearranging the equation into standard form.
1. Group the \(x\) and \(y\) terms:
\[
9x^2 - 72x - 16y^2 + 96y - 144 = 0
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