perplexus.info :: Just Math : Only One, One, One II

Only One, One, One II (Posted on 2013-12-08)

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.

See The Solution Submitted by K Sengupta

Rating: 2.3333 (3 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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