SOLUTION: Find the equation of an ellipse with center at the origin and passes through points [3, sqrt(7)] and [-sqrt(3), 3]

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Question 927237: Find the equation of an ellipse with center at the origin and passes through points [3, sqrt(7)] and [-sqrt(3), 3]
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2Fa%5E2+%2B+y%5E2%2Fb%5E2+=+1
.....points [3, sqrt(7)] and [-sqrt(3), 3]
9/a^2 + 7/b^2 = 1
-3(3/a^2 + 9b^2 = 1)
-20/b^2) = -2
b^2 = 10
.......
9/a^2 + 7/10 = 1
9/a^2 = 3/10
a^2 = 30
.........
x%5E2%2F30+%2B+y%5E2%2F10+=+1