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Classical Rules 1 (Posted on 2006-04-17) Difficulty: 3 of 5
Find three positive rational numbers such that their sum is a square, and the sum of any pair exceeds the third by a square.

Classical Rules: Let a "square" be any number that is the square of a rational number.

No Solution Yet Submitted by goFish    
Rating: 3.5000 (4 votes)

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Some Thoughts A nother solution | Comment 2 of 10 |

The numbers (26, 80, 90) work. Not as small as O. O. O.'s though.

Unless I divide each of the numbers by 144. :)

On that thought, I would rewrite (2.5, 2.5, 4) as (10, 10, 16) to achieve the smallest integers for that set.

  Posted by Leming on 2006-04-17 13:12:05
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