Hi
Standard Form of an Equation of an Ellipse is
where Pt(h,k) is the center and a and b are the respective vertices distances from center.
and
x^2/4 + (x^2 - 6x + 9)/9 = 1
9x^2 + 4x^2-24x+36 = 36
13x^2 -24x = 0
x(13x -24) = 0 x = 0 and x = 24/13
(0,3) and (24/13,15/13) the solutions for this system