This is the math problem:

An Ellipse whose equation is ((x^2/4a^2) + (y^2/b^2) = 1)

And a hyperbola whose equation is (x^2/a^2) - (y^2/b^2) = 1

Are drawn on the same axis. If one of the points of intersection is ((6/5*square root of 10),(3/5* square root of 15), find each equation.