Fun little math problem

[Gerson W. Barbosa]

(05-11-2016 06:38 PM)Tugdual Wrote:  

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

That's what math softwares are for :-)

There was a time when these were done by hand, but I don't think this makes sense today. Most important thing is that you know what you're doing and leave the hard work for the machine.