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Help! We're trapped in the computer, and the computer is trapped in 2008! Someone call the time police!

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USAMO Problem

Started by Ender, July 11, 2007, 07:45:21 PM

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Ender

July 11, 2007, 07:45:21 PM
Prove that the zeros of x^5 + ax^4 + bx^3 + cx^2 + dx + e = 0 cannot all be real if 2a^2 < 5b.

Fun problem :)
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