SOLUTION: Foci: (+-5,0), major axis of length 26. Write in ellipse standard form Thank you for taking time

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Question 801727: Foci: (+-5,0), major axis of length 26. Write in ellipse standard form
Thank you for taking time
Answer by lwsshak3(11628) About Me  (Show Source):
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Foci: (+-5,0), major axis of length 26. Write in ellipse standard form
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Given ellipse has a horizontal major axis with center at the origin.
Its standard form of equation: x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1
..
center:(0,0)
given length of major axis=26=2a
a=13
a^2=169
c=5(distance from center to foci)
c^2=a^2-b^2
b^2=a^2-c^2=169-25=144
equation of given ellipse:
x%5E2%2F169%2By%5E2%2F144=1