Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
Pages: 1
#1 2011-07-17 02:32:14
- Thanh Vân
- Member
- Registered: 2011-07-17
- Posts: 10
Nice Inequality
Let a,b,c,d be positive real numbes. prove that
Offline
#2 2011-07-17 04:16:24
- gAr
- Member
- Registered: 2011-01-09
- Posts: 3,482
Re: Nice Inequality
Hi Thanh Vân,
Welcome to the forum!
Last edited by gAr (2011-07-17 04:19:09)
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
Offline
#3 2011-07-17 12:28:37
- Thanh Vân
- Member
- Registered: 2011-07-17
- Posts: 10
Re: Nice Inequality
Oh. Hi gAr. I don't understand your proof.
Why you have
Offline
#4 2011-07-17 15:07:26
- gAr
- Member
- Registered: 2011-01-09
- Posts: 3,482
Re: Nice Inequality
Hi,
I thought since 8 is the minimum value LHS can have, we may write like that.
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
Offline
#5 2011-07-17 23:00:15
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Nice Inequality
Hi;
For anyone else wishing to work on the problem here it is latexed.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#6 2011-07-19 02:39:08
- Thanh Vân
- Member
- Registered: 2011-07-17
- Posts: 10
Re: Nice Inequality
I thinks idea of gAr is wrong and can't use it to prove inequality. It can solve by Cauchy Schwarz Inequality and AM-GM Inequality very beautiful.
Offline
#7 2011-07-19 22:10:34
- gAr
- Member
- Registered: 2011-01-09
- Posts: 3,482
Re: Nice Inequality
Hi Thanh Vân,
Yes, I was wrong. I made wrong assumption without checking.
Anyway, I could prove
and
But unable to get anywhere.
Last edited by gAr (2011-07-21 17:02:17)
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
Offline
Pages: 1