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)

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Counterexample?

| Comment 1 of 5

A=.2 B=.5 C=1

AB/C=.1
BC/A=2.5
AC/B=.4

.1 + 2.5 + .4 = 3

What am I missing?

Posted by Jer on 2013-12-09 13:20:52

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