SOLUTION: What is the equation of the ellipse with foci (0, 6), (0, -6) and co-vertices (2, 0), (-2, 0)?

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Question 399214: What is the equation of the ellipse with foci (0, 6), (0, -6) and co-vertices (2, 0), (-2, 0)?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
From the co-vertices, b%5E2++=2%5E2+=+4. Now c%5E2+=+6%5E2+=+36.
==> b%5E2+=+a%5E2+-+c%5E2 ==> 4+=+a%5E2+-+36, or a%5E2+=+40.
The center of the ellipse is the origin (0,0).
Thus the equation of the ellipse is x%5E2%2F4+%2B+y%5E2%2F40++=1