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Topic: Cubics and roots
Replies: 24   Last Post: Oct 19, 2012 4:15 PM

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Robin Chapman

Posts: 412
Registered: 5/29/08
Re: Cubics and roots
Posted: Oct 15, 2012 4:58 AM
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On 14/10/2012 13:45, Bill Taylor wrote:
> The heptagon/trisection thread got me thinking
> about an old query of mine, concerning the reach
> of *real* cube roots, (NOT complex).
> Am I correct in thinking: that a cubic with
> rational coefficients but no rational roots,
> has solutions obtainable(from 1) via the four
> basic operations AND real cube roots,
> ** if-and-only-if **
> it has precisely one real root?

casus irreducibilis

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