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Find the number of triples  (a, b, c) of positive integers, such that  1 <= a ,b, c <= 100 and a^2 + b^2 + c^2 = 100.
 

 Jul 11, 2022
 #1
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+1

No three positive integers work here

 

cool cool cool

 Jul 11, 2022
 #2
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Supplementary question.

Triples exist for sums of 30, 50, 70, and 90, but not for 20, 40, 60, 80 and 100.

Explain why this is so.

 Jul 11, 2022

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