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Question 43946: Graph the ellipse, then choose the correct foci.
x^2 + 25y^2 = 100
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! First, put it in standard form by dividing by 100...we get
x^2 + 25y^2 = 100
x^2/100 + y^2/4 = 1
Here a^2 = 100 and b^2 = 4
We find the focal distance via
c^2 = a^2 - b^2
c^2 = 100 - 4 = 96 so that
c = sqrt(96) = 4*sqrt(6) and the foci are then
(-4√6, 0) and (4√6, 0)
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