SOLUTION: find the equation of the ellipse with the vertices (+-8,2) and foci (+-5,2)

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Question 974272: find the equation of the ellipse with the vertices (+-8,2) and foci (+-5,2)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The given points seem to indicate plus and minus for the x coordinates.

The center would seem to be (0,2).
a=8 and c=5.
You want to know the value for b.
a%5E2=b%5E2%2Bc%5E2
b%5E2=a%5E2-c%5E2
b%5E2=64-25
b%5E2=39

Fill-in the standard form for an ellipse.

highlight%28x%5E2%2F64%2B%28y-2%29%5E2%2F39=1%29