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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 re(2): Full solution | Comment 6 of 10 |
(In reply to re: Full solution by tomarken)

Only one word... OOPS!

But, though the example is "somewhat" (fully!) faulty, the formulas are good.

Let's try again: if x=4 and y=7, then (t+z)(t-z)=65, and t=9, z=4 is an answer, which produces a=65/2, b=16, c=65/2.

  Posted by Federico Kereki on 2006-04-17 20:07:04

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