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| ``Re: Proof''
by mathcam on 2007-12-26 20:02:41 |
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| Well, that certainly is a case that requires complex numbers, but I was referring to the *reducible* case, i.e., polynomials with real coefficients and three *real* roots, the roots of which can be found using complex numbers (e.g., via Cardano's formulas). A quick google search gave me the example
x^3 - 15x - 4 = 0,
which if you were to use Cardano's formulas, would invoke some complex analysis, but has three real roots.
Cam
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