SOLUTION: What is the equation of ellipse whose vertices are (5,0) and (-5,0) and length of latus rectum is 8/5? Thanks!

Question 933264: What is the equation of ellipse whose vertices are (5,0) and (-5,0) and length of latus rectum is 8/5? Thanks!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

the equation of ellipse whose vertices are (,) and (,) and length of latus rectum is :
standard form of equation:
, ....
vertices:(�,)=(,) => and
The Latus Rectum is the line through the focus and parallel to the directrix.
The length of the Latus Rectum is
since latus rectum is and , we have
now find ,..denominators same then

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