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.

Submitted by K Sengupta

Rating: 2.3333 (3 votes)

Solution: (Hide)

The problem text was faulty. It should have read:
"A=B=C=1 is a positive integer solution of:
A*B B*C C*A --- +----- +----- = 3 C A B
Prove that it is the only such solution."
Refer to the solution submitted by Harry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Assuming positive integers (spoiler)	Harry	2013-12-13 14:04:04
re: Counterexample?	Jer	2013-12-10 18:22:03
re: Counterexample?	Ady TZIDON	2013-12-10 09:04:50
re: Counterexample?	Steve Herman	2013-12-09 20:46:57
Counterexample?	Jer	2013-12-09 13:20:52

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