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 March 6th, 2014, 02:06 PM #1 Newbie   Joined: Feb 2014 From: Kumanovo,Macedonia Posts: 17 Thanks: 0 Prove Let a,b,c be positive real numbers(a,b,c>0) then prove that $(1+\frac{2a}{b})^2+(1+\frac{2b}{c})^2+(1+\frac{2c} {a})^2 \geq \frac{9(a+b+c)^2}{ab+bc+ca}$
 March 6th, 2014, 04:09 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,681 Thanks: 2659 Math Focus: Mainly analysis and algebra Re: Prove I haven't thought hard about the problem, but that 9 makes me think of http://v8archie.insomnia247.nl/maths/complement.php.

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