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Classical Rules 2 (Posted on 2006-04-20) Difficulty: 4 of 5
Find three squares such that each minus the product of the three gives 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: 4.0000 (1 votes)

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Solution Partial Solution | Comment 1 of 3

One possible solution is (1, 1, 1) - each minus the product of the three gives 0.

Similarly, any one square with two zeroes, or two squares and a zero will work.

I'm assuming that the question is looking for a better answer involving numbers less than 1...I'll start working on that idea now. :)


  Posted by tomarken on 2006-04-20 13:14:07
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