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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.)
not true | Comment 2 of 5 |

To get a zero sum===> not necesseraly forces all the parts

to be zero   i.e.   some of the       "     dx , dy ,dz "

might be negative ...AND SOME POSITIVE

 

 


  Posted by Ady TZIDON on 2007-05-31 13:43:39
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