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Only One, One, One II (Posted on 2013-12-08) Difficulty: 3 of 5
A=B=C=1 is a positive real solution of:
A*B     B*C     C*A
---- + ----- + ----- = 3
 C       A       B
Prove that it is the only such solution.

No Solution Yet Submitted by K Sengupta    
Rating: 1.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Counterexample? | Comment 4 of 5 |
(In reply to Counterexample? by Jer)

I'm just glad I didn't do something ridiculous.  Actually I just let C=1 and there are many solutions.  This is just a nice rational one.

There don't seem to be any other integer solutions.

  Posted by Jer on 2013-12-10 18:22:03

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