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Get one half by squaring (Posted on 2004-09-20) Difficulty: 4 of 5
Can you solve the following equation?

= 1/x + 1/y +...+ 1/z

All variables must be different, positive integers, and there must be a finite number of terms.

See The Solution Submitted by Federico Kereki    
Rating: 4.2500 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
infinite solution | Comment 11 of 31 |

There is an infinite solution I found using the following variables:

2,3,4,6,12,5^1,5^2,5^3,5^4,5^5...

However, I don't think there is a finite solution.  It just doesn't seem likely.


  Posted by Tristan on 2004-09-21 00:52:58
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