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Integer Equation Illation (Posted on 2016-09-04) Difficulty: 3 of 5
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

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
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.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
sum more solutionsSteve Herman2016-09-05 08:03:52
sum solutionsSteve Herman2016-09-04 11:56:03
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