SOLUTION: find the standard and general equation of the ellipse with the center at (0,0),vertex (16,0),focus (10,0).

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Question 1023458: find the standard and general equation of the ellipse with the center at (0,0),vertex (16,0),focus (10,0).
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2Fa%5E2+%2B+y%5E2%2Fb%5E2+=+1 is the standard form.
Here, a = 16/2 = 8, and c = 10/2 = 5.
Now a%5E2+=+b%5E2+%2B+c%5E2 for the ellipse, and so 64+=+b%5E2+%2B+25
==> b+=+sqrt%2839%29
Hence x%5E2%2F64+%2B+y%5E2%2F39+=+1 is the standard form for this ellipse.
Now it would be a simple matter to transform this equation to its general form.