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#1 2012-09-24 19:59:31

hammana
Member

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inequation a/b+b/c+c/d+d/a>=4

If a, b, c, d are 4 positive numbers, show that
a/b+b/c+c/d+d/a>=4

#2 2012-09-24 22:52:05

anonimnystefy
Real Member

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Re: inequation a/b+b/c+c/d+d/a>=4

Hi hammana

Have you heard of the AM-GM inequality?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

#3 2012-09-25 02:35:30

bobbym
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Re: inequation a/b+b/c+c/d+d/a>=4

Hi;

Have you left out some constraint on this problem?


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

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