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)

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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

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