perplexus.info :: Just Math : Reciprocals

Reciprocals (Posted on 2009-07-12)

Find all pairs (x,y) of real numbers for which

          1     1      1  
    xy + ——— + ——— = ———— + x + y.
          x     y     xy

See The Solution Submitted by Bractals

Rating: 5.0000 (1 votes)

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

Puzzle Thoughts

Comment 2 of 2 |

(x,y)= (1,k), (k,1), and (k,1/k) for any nonzero real number k.

Posted by K Sengupta on 2023-07-13 09:33:48

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info