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Warp wrote:
> More info on that subject:
>
> http://en.wikipedia.org/wiki/Abel%E2%80%93Ruffini_theorem
Hmm, interesting. I thought the theorum states that there is no single
formula that covers all possible polynomials of a given degree. However,
Wikipedia asserts something far stronger: It seems to claim that you can
construct a single, fixed polynomial who's solutions (which are also
fixed) cannot be expressed by radicals.
This indicates that there are some algebraic numbers that are not
expressible by radicals. (And yet, the *definition* of an algebraic
number is one expressible by radicals...)
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