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Symmetry helps! (Posted on 2016-10-26) Difficulty: 4 of 5
Solve the system of equations below, listing all un-ordered triplets of integers:

x^2 −(y+z+yz)x+ (y+z)yz = 0
y^2 −(z+x+zx)y+ (z+x)zx = 0
z^2 −(x+y+xy)z+ (x+y)xy = 0

  Submitted by Ady TZIDON    
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Solution: (Hide)
UNORDERED SOLUTIONS: (0,0,0), (1,1,1,), (-1,1,1,)
ORDERED SOLUTIONS: (0,0,0), (1,1,1,), (-1,1,1,), (1,-1,1,), and (1,1,-1,).

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre(2): my short solution....summing upAdy TZIDON2016-10-27 09:55:38
re: my short solutionDaniel2016-10-27 05:29:47
Some Thoughtsre: computer explorationAdy TZIDON2016-10-27 04:27:50
Solutionmy short solutionAdy TZIDON2016-10-27 04:20:49
Some Thoughtsre: No SubjectAdy TZIDON2016-10-27 04:07:09
No Subjectxdog2016-10-26 23:03:01
Some Thoughtscomputer explorationCharlie2016-10-26 12:08:23
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