Fun little math problem

[Gerson W. Barbosa]

(05-11-2016 05:26 PM)Dieter Wrote:  

(05-11-2016 05:13 PM)Gerson W. Barbosa Wrote:  Quite easy indeed. So let's be mean, but not so mean: :-)

OK, this time I could solve it in 30 seconds, too. ;-)

(05-11-2016 05:13 PM)Gerson W. Barbosa Wrote:  No numerical solutions, please.

What kind of solution do you expect here?

Dieter

Oops! I'd make for a good math teacher (for students). Kind of those who don't know how to set up a problem :-)

Ok, let's try again:

Find both solutions to

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

Closed-form solutions only.