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can anyone explain dis..???

adityamahajan

Cool goIITian

Posted on
14 Apr 2012 11:25:28 IST

Posts: 47

14 Apr 2012 11:25:28 IST

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552

can anyone explain dis..???

Engineering Entrance , JEE Main , BITSAT , JEE Advanced , Mathematics , Algebra , academic

if w is a cube root of unity.. we know dat

1+w+w^2 =0

but if we apply A.M>G.M for 1,w,w^2

we get

thus we get 1+w+w^2 >3

so y des two statements contradict????

Comments (3)

sanjana rajendran

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Joined: 29 Dec 2010 16:52:59 IST

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16 Apr 2012 16:11:17 IST

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the inequality applies to only non negative real numbers... since w is a complex number the inequality doesnt apply

boywholived

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Joined: 10 Feb 2012 20:33:35 IST

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17 Apr 2012 19:53:53 IST

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Better you check the proof for AM-GM inequality. You can apply it here since the numbers are imaginary ...

manav juneja

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Joined: 21 Nov 2010 13:24:15 IST

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17 Apr 2012 20:44:42 IST

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we get 1+w+w^2>3w

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