SOLUTION: (Ellipse) 25x^2 + 64y^2 - 400x - 600y=0 Find its standard equation, foci, vertices and extemeties of the minor axis.

Question 987973: (Ellipse)
25x^2 + 64y^2 - 400x - 600y=0
Find its standard equation, foci, vertices and extemeties of the minor axis.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

.........complete square

.........since ...

....multiply by
....divide by

now we have a standard form and we know that:
=>
=>
we can calculate using formula =>

we also know that

=>so, the center is at (, ), approximately at (, )
foci:(, ) or (, ), approximately at (, ) or (, )
vertices: (, ) or (, ), approximately at (, ) or (, )
semi-major axis length: ~~
semi-minor axis length: (~~
eccentricity | ~~

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