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Simultaneous Pythagorean Poser (Posted on 2015-07-04) Difficulty: 3 of 5
Find all possible triplets (A, B, C) of positive integers, with A ≤ B, that satisfy this system of equations:

A2 + B2 = C2, and:

A+B = C+12

No Solution Yet Submitted by K Sengupta    
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Some Thoughts re: solution + more | Comment 2 of 4 |
(In reply to solution by xdog)

I was about to post my lengthy solution, which produced the same six triplets as in your concise, albeit excellent presentation.

Although I decided not to post "more of the same" I would like to add that if the ban on negative numbers were lifted there would be additional triplets like  (4,3,-5) ,(8,-6,-10)....

  Posted by Ady TZIDON on 2015-07-04 13:06:55
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