SOLUTION: find the equation given foci (3,0) and (-3,0) and sum of focal radii 10

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Question 754163: find the equation given foci (3,0) and (-3,0) and sum of focal radii 10
Answer by lwsshak3(11628) About Me  (Show Source):
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find the equation given foci (3,0) and (-3,0) and sum of focal radii 10
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Given ellipse has a horizontal major axis and origin at (0,0)
Its standard form: x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2, a>b
c=3 (distance from center to foci)
c^2=9
given sum of focal radii=10=2a
a=5
a^2=25
c^2=a^2-b^2
b^2=a^2-c^2=25-9=16
Equation of given ellipse:
x%5E2%2F25%2By%5E2%2F16