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Only one, one, one (Posted on 2007-05-30) Difficulty: 3 of 5
It's obvious that x=y=z=1 is an all-positive, all-real, solution of

x + y² + z³ = 3
y + z² + x³ = 3
z + x² + y³ = 3

Can you prove that it is the only such solution?

See The Solution Submitted by Federico Kereki    
Rating: 4.5000 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: not trueRobby Goetschalckx2007-06-01 06:11:14
re: solutionBrian Smith2007-05-31 15:11:55
SolutionBrian Smith2007-05-31 14:53:35
not trueAdy TZIDON2007-05-31 13:43:39
SolutionsolutionRobby Goetschalckx2007-05-31 03:16:07
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