SOLUTION: find the standard form of the equation of the ellipse with the following characteristics: foci: (=/-7,0) major axis of length is 20 please help with this problem

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Question 438136: find the standard form of the equation of the ellipse with the following characteristics:
foci: (=/-7,0) major axis of length is 20
please help with this problem
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Foci are located along the x-axis. ==> semi-major axis = a = 20/2 = 10, and c = 7.
==> b%5E2+=+a%5E2+-+c%5E2+=+10%5E2+-+7%5E2+=+100+-+49+=+51
==> The standard equation is x%5E2%2F100+%2B+y%5E2%2F51+=+1