To find the points of intersection of the two ellipses, we can solve the system of equations:
((x-255)/250)^2 + (y/108.9)^2 = 1
((x-1.5)/93)^2 + (y/93)^2 = 1
To do this, we can solve one of the equations for y and substitute the expression into the other equation.
First, let's solve the second equation for y:
((x-1.5)/93)^2 + (y/93)^2 = 1
(y/93)^2 = 1 - ((x-1.5)/93)^2
y/93 = ±sqrt(1 - ((x-1.5)/93)^2)
y = ±93*sqrt(1 - ((x-1.5)/93)^2)
Now we can substitute this expression for y into the first equation and solve for x:
((x-255)/250)^2 + (±93*sqrt(1 - ((x-1.5)/93)^2)/108.9)^2 = 1