SOLUTION: Find the equation the ellipse with a length of major axis 6, minor axis 4 and the foci on x axis

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Question 1090346: Find the equation the ellipse with a length of major axis 6, minor axis 4
and the foci on x axis
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The equation the ellipse
centered at the origin,
with a length of major axis 6, minor axis 4,
and the foci on x axis is
x%5E2%2F3%5E2%2By%5E2%2F2%5E2=1 or x%5E2%2F9%2By%5E2%2F4=1 .

If both foci are on the x-axis,
the center and the major axis of the ellipse are on the x-axis.
The equation of an ellipse centered at the origin,
with major axis along the x-axis is
x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1 ,
where a= semi-major axis,
and b= semi-minor axis.
In this case,
a=6%2F2=3 and b=4%2F2=2 .

If the center was at a point with (h,0) on the x-axis,
the equation would be
%28x-h%29%5E2%2F3%5E2%2By%5E2%2F2%5E2=1 or %28x-h%29%5E2%2F9%2By%5E2%2F4=1 .