perplexus.info :: Just Math : Just prove it

Just prove it (Posted on 2013-10-20)

Prove that:
If (x+sqrt{1+y^2})*(y+sqrt{1+x^2})=1,
then
x+y=0 .

No Solution Yet Submitted by Ady TZIDON

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

Small hint , no spoiler

| Comment 3 of 4 |

Rewrite the equation in the form

y*sqrt{1+y^2}+x*sqrt{1+x^2}=
1-xy-sqrt{1+x^2}*sqrt{1+y^2}

Square both sides, organize & square again

Posted by Ady TZIDON on 2013-10-24 17:26:40

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info