How do I check if there are any solutions to this equation:
1/(u+v)^2+4*u*v-1=0
where both u and v are real numbers larger than 0.

Is there are way in maple to check if two expressions are equal for certain intervals for each variable?
I tried to create a formula to give me some propabilities in a card game scenario. I used two different methods to find it, and ended up with these two formulars that seems to give me the same results, but I don't know how I would go about showing by hand if they are equal.

All variables are whole numbers.
I added a picture with the variable intervals and the two formulas.

Not used to these kind of notations, so tell me if anything is unclear.
Thanks.