I have never solved any system consisting of squared numbers. I have been trying to figure this one out now for a while without any luck.
x^2 - y^2 = -(15/4)
2xy = 2
Basically, what I would like to do is
2xy = 2 <=> xy = 1 <=> x = 1 / y
then insert that into the top equation, but doing so will give me a new grade four equation, which cannot be right?