SOLUTION: Find the equation of an ellipse that has the center (0,0) focus at (3,0) and vertex at (5,0)

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Question 111084: Find the equation of an ellipse that has the center (0,0) focus at (3,0) and vertex at (5,0)
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Standard form %28%28x-h%29%5E2%2Fa%5E2%29%2B%28%28y-k%29%5E2%2Fb%5E2%29=1
center=(h,k)=(0,0); h=0, k=0
foci=(h+-c,k)=0+-3,0; c=3
vertices=(h+-a,k)=0+-5,0; a=5
b^2=a^2-c^2=25-9=16; b=4
%28x%5E2%2F25%29%2B%28y%5E2%2F16%29=1
Or we can get an LCD of 400 and multiply that by the equation above to get:
16x^2+25y^2=400
Ed