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``Re: Proof'' by rm50 on 2007-12-27 12:48:48
The term "casus irreducibilis" refers to the fact that the roots cannot be expressed in terms of real radicals - that imaginary numbers are required. For example, x^3-3x-1 has real roots are 2cos(k\pi/9) for k=2,8,14, but is expressible in terms of radicals only using e^{2\pi/9} (for example, 2\cos 2\pi/9 = e^{2\pi/9}+e^{-2\pi/9}).
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