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| Integer Equation Illation (Posted on 2016-09-04) |
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Determine all possible triplets (X,Y,Z) of integers that satisfy this equation:
(X+Y)(Y+Z)(Z+X)/2 + (X+Y+Z)3 = 1 - X*Y*Z
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Submitted by K Sengupta
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Rating: 5.0000 (1 votes)
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Solution:
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(Hide)
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X,Y,Z)= (0,0,1), (0,1,0), (1,0,0), (2, -1,-1), (-1,2,-1) and (-1,-1,2) constitute all possible solutions to the given equation. |
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