Could you please show me step by step how to solve this problem?

Suppose that the equation of an ellipse is 36X^2 + 81y^2 = 2916

Find the major and minor radii. Use these numbers and the realtionship in problem 11 to calculate c, the focal readius for this elipse.

number 11 stated exlapin why b^2 + c^2 = a^2. Write this relationship on your index card.

THANK YOU!

2 answers

The canonical form for an ellipse is
(x/a)2 + (y/b)2 = 1

where a and b are the major and minor radii respectively (note: major>minor).

If you rewrite
36X2 + 81y2 = 2916
as
(6x)2 + (9y)2 = 542
you should have no problem finding a and b.

See also:
http://en.wikipedia.org/wiki/Ellipse
l was not even born yet in jun 9 2009 3 month later l was born
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