SOLUTION: What are the foci of the ellipse x^2/16+y^2/49=1?

Question 332784: What are the foci of the ellipse x^2/16+y^2/49=1?
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
What are the foci of the ellipse ?
==
can be rewritten as
or in general
for an ellipse with major axis along the x direction (note: )
for an ellipse with major axis along the y direction (note: )
--

is an ellipse with the major axis along the y direction and the minor axis along the x direction
centered at (h,k)=(0,0)
----
In ellipses the focal length is 2*c, where c =
so the foci for an ellipse with major axis along the y direction = (h,k-c), (h,k+c)
since h=0, k=0, c=5.745, the foci are at (0,-5.745) and (0,5.745)

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