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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 + y + z = 3
y + z + x = 3
z + x + y = 3

Can you prove that it is the only such solution?

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

Comments: ( Back to comment list | You must be logged in to post comments.)
re: not true Comment 5 of 5 |
(In reply to not true by Ady TZIDON)

Yes, you are quite right.
  Posted by Robby Goetschalckx on 2007-06-01 06:11:14

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