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Rational Square Sum (Posted on 2015-05-07) Difficulty: 3 of 5
Can the sum of squares of two rational numbers equal 14?
If so, give an example.
If not, prove it.

No Solution Yet Submitted by K Sengupta    
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re(2): Fixing the prior proof (spoiler) Comment 5 of 5 |
(In reply to re: Fixing the prior proof (spoiler) by xdog)

OK, xdog, I am convinced.  You are correct.   If A and B are odd, then 7C^2 = 1 mod 4.  But this is not possible, and your proof works.
  Posted by Steve Herman on 2015-05-08 12:05:03

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