Question 1090346
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^2/3^2+y^2/2^2=1}}} or {{{x^2/9+y^2/4=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^2/a^2+y^2/b^2=1}}} ,
where {{{a}}}= semi-major axis,
and {{{b}}}= semi-minor axis.
In this case,
{{{a=6/2=3}}} and {{{b=4/2=2}}} .
 
If the center was at a point with (h,0) on the x-axis,
the equation would be
{{{(x-h)^2/3^2+y^2/2^2=1}}} or {{{(x-h)^2/9+y^2/4=1}}} .