Find the equation of the ellipse that satisfies the given conditions: Vertices `(pm6,0)`, foci `(pm4,0)`

Explanation

To find the equation of the ellipse with given vertices and foci, we can follow these steps:

### Step 1: Identify the values of \( a \) and \( c \)
The vertices of the ellipse are given as \( (\pm 6, 0) \). This means that the distance from the center to the vertices, which is \( a \), is 6. Therefore, we have:
\[ a = 6 \]

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