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OOO3= one out of three (Posted on 2010-11-04) Difficulty: 4 of 5
Given an equation x^2+y^2+z^2=2010.
1. Prove that in every triplet of integers satisfying the above equation one number has to be even and two others odd.
2. How many integer solutions are there ?


Warning: 1 is very easy, 2 is quite tricky.

No Solution Yet Submitted by Ady TZIDON    
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re: Tricks or Treats? | Comment 3 of 8 |
(In reply to Tricks or Treats? by ed bottemiller)

Your first paragraph doesn't show why all the numbers (x, y AND z) can't be even.
  Posted by Charlie on 2010-11-04 18:46:28

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