On Mon, Jan 11, 2010 at 08:27, Ondrej Certik <[email protected]> wrote: > On Sun, Jan 10, 2010 at 10:07 PM, cfriedalek <[email protected]> wrote: >> However the next polynomial in the sequence fails i.e. >> sympy.roots(x**5 + x**4 + x**3 + x**2 + x - 11, x) >> {} >> >> A simple numerical root finder gives one real root. > > As far as I know there is no symbolical algorithm to determine roots > of polynomials of 5th order.
Nor can there be for general quintics: http://en.wikipedia.org/wiki/Abel–Ruffini_theorem -- Robert Kern "I have come to believe that the whole world is an enigma, a harmless enigma that is made terrible by our own mad attempt to interpret it as though it had an underlying truth." -- Umberto Eco
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