Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2007-09-28 21:03:48

Identity
Member
Registered: 2007-04-18
Posts: 934

am-gm

Prove that:

The book said to observe the identity:

But I don't understand where that identity came from or where it leads to.

Last edited by Identity (2007-09-28 21:04:06)

Offline

#2 2007-09-28 22:33:16

HallsofIvey
Guest

Re: am-gm

Identity wrote:

Prove that:

The book said to observe the identity:

But I don't understand where that identity came from or where it leads to.

Have you tried multiplying [math\left(1+\frac{a-b}{b-c}+\frac{b-c}{c-a}+\frac{c-a}{a-b} \right)^2 [/math] out?

#3 2007-09-28 22:34:43

HallsofIvy
Guest

Re: am-gm

Left out a "]"!  Is there no way to EDIT posts on this forum?

#4 2007-09-28 22:56:25

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: am-gm

I think you have to register to be able to edit your posts.

Offline

#5 2007-09-28 22:59:09

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: am-gm

I've tried for ages to equate them perfectly, and, I mean, it seems rather random to suddenly try adding that square on.

Ok I finally got them to equate, but how did they know to add on that square? Was it just something that was done by chance or inspection?

Last edited by Identity (2007-09-28 23:30:27)

Offline

#6 2007-09-29 00:30:37

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,711

Re: am-gm

HallsofIvy wrote:

Left out a "]"!  Is there no way to EDIT posts on this forum?

You aren't a member yet? Shock! eek

HallsofIvy wrote:

[math\left(1+\frac{a-b}{b-c}+\frac{b-c}{c-a}+\frac{c-a}{a-b} \right)^2 [/math]

Did you mean:


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

Board footer

Powered by FluxBB