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forum.virtualchallengemeets.com • View topic - AIME #9 1983

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AIME #9 1983

American Mathematics Contest & American Invitational Mathematics Examination. See for more information
Note:USAMO/IMO-level questions need to go in the Olympiad section.
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AIME #9 1983

Postby stupidityismygam » Sun Apr 29, 2007 4:52 pm

I sticky all unsolved problems, so that you can find them

Find the minimum value of [unparseable or potentially dangerous latex formula] for [unparseable or potentially dangerous latex formula]
Last edited by stupidityismygam on Sun Apr 29, 2007 6:30 pm, edited 1 time in total.
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Postby kashhustler » Sun Apr 29, 2007 6:26 pm

note that sin x, where 0by am-gm [unparseable or potentially dangerous latex formula]
squaring and multiplying both sides by 4 gives us [unparseable or potentially dangerous latex formula] so [unparseable or potentially dangerous latex formula]

thus the minimum of the numerator is [unparseable or potentially dangerous latex formula] and cancelling with the denominator gives us a minimum of 12
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Re: AIME #9 1983

Postby stupidityismygam » Sun Apr 29, 2007 6:35 pm

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