Suppose that the roots of [unparseable or potentially dangerous latex formula] are [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] and that the roots of [unparseable or potentially dangerous latex formula] are [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] Find [unparseable or potentially dangerous latex formula]
(hint dont try to factor)
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AIME #5 1996
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AIME #5 1996
by stupidityismygam » Sun Apr 22, 2007 10:37 pm
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stupidityismygam - Ubiquitous Spammer
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by Roel » Sun Apr 22, 2007 11:25 pm
In the second equation [unparseable or potentially dangerous latex formula] is equal to the negative product of the roots
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
With some factoring:
[unparseable or potentially dangerous latex formula]
From the first equation we know the the product of the roots, the sum of the roots, and the sum of the roots taken two at a time:
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
With some factoring:
[unparseable or potentially dangerous latex formula]
From the first equation we know the the product of the roots, the sum of the roots, and the sum of the roots taken two at a time:
[unparseable or potentially dangerous latex formula]
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