Fun little math problem

[Tugdual]

(05-11-2016 05:13 PM)Gerson W. Barbosa Wrote:  

(05-11-2016 02:23 PM)Massimo Gnerucci Wrote:  Amazing: I didn't imagine it could be so difficult to see the solution. My previous comments stem from me doing almost the same, in a similar amount of time. And my brain is four times older than Ramanujan's.

Quite easy indeed. So let's be mean, but not so mean: :-)

\(\left \{ _{\sqrt{y}+x=4}^{\sqrt{x}+y=2} \right.\)

No numerical solutions, please.

I could reduce the problem to a 3rd degree equation and solved it with Wolfram.
Result is huge...