设椭圆方程为：x^2/a^2+y^2/b^2=1,
分别把二坐标值代入椭圆方程,
9/a^2+25/b^2=4,.(1),
3/a^2+5/b^2=1,.(2),
(1)式-(2)*3,
10/b^2=1,
b=√10,
a=√6.
方程为：x^2/6+y^2/10=1.