SOLUTION: Find an equation for the ellipse that satisfies the given conditions. Endpoints of major axis: (+-10,0), distance between foci:6

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Question 868769: Find an equation for the ellipse that satisfies the given conditions.
Endpoints of major axis: (+-10,0), distance between foci:6

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The major axis information means, a=5, and center of the ellipse is the origin. the way that a, b, and c are related is a%5E2%2Bb%5E2=c%5E2. This means that b%5E2=a%5E2-c%5E2. The distance 6 between foci here means since the center is midpoint of this segment focus to focus, c=3. Find the value of b%5E2:
b%5E2=5%5E2-3%5E2=25-9=16.

Equation of ellipse: highlight%28x%5E2%2F25%2By%5E2%2F16=1%29