SOLUTION: Find the co-ordinates of the vertices and the foci and length of the latus rectum of the ellipse 9x2 + 25y2 = 225.

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Question 439714: Find the co-ordinates of the vertices and the
foci and length of the latus rectum of the
ellipse 9x2 + 25y2 = 225.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Dividing both sides by 225 we get:x%5E2%2F%2815%2F3%29%5E2%2By%5E2%2F%2815%2F5%29%5E2=225%2F225,
simplifying we get:x%5E2%2F5%5E2%2By%5E2%2F3%5E2=1, which represent the equation of an
ellipse centered at (0, 0).
The coordinates of the vertices are:(5, 0), (-5, 0) and coordinates of the foci
are:( c%5E2%2Ba%5E2-b%5E2=25-9=16 => c=+or-4.), (4, 0) and (-4, 0).
Done.