SOLUTION: Please help me solve this equation: if the latus rectum of an ellipse is 5 and eccentricity is 2/3, find the value of a and b ?

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Question 925977: Please help me solve this equation:
if the latus rectum of an ellipse is 5 and eccentricity is 2/3, find the value of a and b ?
Answer by srinivas.g(540)   (Show Source): You can put this solution on YOUR website!
latus rectum of an ellipse =
eccentricity =

move a to the right
2b^2 = 5a
divide with 2 on both sides


put above in eccentricity equation

eccentricity =



squaring on both sides


move 1 to the left





divide with 5 on both sides


2a =9
on dividing with 2 on both sides
a = 9/2
but
=
=
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