perplexus.info :: Numbers : Classical Rules 1

Classical Rules 1 (Posted on 2006-04-17)

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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A simple solution

| Comment 1 of 10

2.5, 2.5, 4 do the job, or 10, 10, 16 if you want integers.

Posted by Old Original Oskar! on 2006-04-17 12:49:42

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