Find the equation of the ellipse with foci at `(+-5,0)` and x=`36/5` as one of the directrices.

Explanation

To find the equation of the ellipse with foci at \((\pm 5, 0)\) and \(x = \frac{36}{5}\) as one of the directrices, we can follow these steps:

### Step 1: Identify the given values
- The foci of the ellipse are at \((5, 0)\) and \((-5, 0)\).
- The equation of the directrix is \(x = \frac{36}{5}\).

### Step 2: Determine the value of \(c\)
The distance from the center of the ellipse to each focus is denoted as \(c\). Since the foci are at \((\pm 5, 0)\), we have:
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