SOLUTION: write equation of ellipse having foci (3,0) and (-3,0) and endpoints of the major axis are (5,0) and (-5,0).

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Question 451203: write equation of ellipse having foci (3,0) and (-3,0) and endpoints of the major axis are (5,0) and (-5,0).
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+

where Pt(h,k) is the center and a and b  are the respective vertices distances from center.

endpoints of the major axis are (5,0) and (-5,0)

 x%5E2%2F25+%2B+y%5E2%2Fb%5E2+=+1

foci (3,0) and (-3,0) sqrt(25-b^2) = 3   b^2 = 16

  x%5E2%2F25+%2B+y%5E2%2F16+=+1