SOLUTION: Standard equation for vertices (plus or minus 9,0); foci (plus or minus 6 square root 2,0)

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Question 880339: Standard equation for vertices (plus or minus 9,0); foci (plus or minus 6 square root 2,0)
Answer by lwsshak3(11628) About Me  (Show Source):
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Standard equation for vertices (plus or minus 9,0); foci (plus or minus 6 square root 2,0)
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Given data is for an ellipse with horizontal major axis and center at the origin.
Its standard form of equation: x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1, a>b
length of major axis=18=2a
a=9
a^2=81
c=6√2
c^2=72
c^2=a^2-b^2
b^2=a^2-c^2=81-72=9
equation: x%5E2%2F81%2By%5E2%2F9=1