SOLUTION: What are the foci of the ellipse given by the equation 100x^2+64y^2=64,000

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Question 712313: What are the foci of the ellipse given by the equation 100x^2+64y^2=64,000
Answer by lwsshak3(11628) About Me  (Show Source):
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What are the foci of the ellipse given by the equation
100x^2+64y^2=64,000
x^2/640+y^2/1000=1
This is an equation of an ellipse with vertical major axis.
Its standard form: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=(x,y) coordinates of center
center:(0,0)
a^2=1000
b^2=640
c^2=a^2-b^2=1000-640=360
c=√360≈18.97
Foci: (0, 0±c)=(0,0±18.97)=(0,-18.97) and (0,18.97)