SOLUTION: Write the equation of the ELLIPSE that satisfies the given conditions foci (-4, 2) and (4,2) length of major axis is 10

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Question 1190962: Write the equation of the ELLIPSE that satisfies the given conditions
foci (-4, 2) and (4,2) length of major axis is 10
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The equation of an ellipse is
%28x-h%29%5E2%2Fa%5E2%2B+%28y-k%29%5E2%2Fb%5E2+=1
where (h,k) is the center, a and b are the lengths of the semi-major and the semi-minor axes.
given: foci (-4, 2) and (4,2) ->
center is half way between foci: (h,k)=(%28-4%2B4%29%2F2,%282%2B2%29%2F2)=(0,2)
=>h=0 and k=2
length of major axis is 10=>2a=10->a=5
Thus, a=5, c=4, h=0, and k=2
then, b=sqrt%285%5E2-4%5E2%29=sqrt%289%29=3
your equation is:
%28x-0%29%5E2%2F5%5E2%2B+%28y-2%29%5E2%2F3%5E2+=1+
x%5E2%2F25%2B+%28y-2%29%5E2%2F9+=1+





Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
WHY DO YOU PUT ellipse IN ALL CAPS?
=============================
If you stop doing that, I'll do some of them.