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From: mascagni@acf4.UUCP
Newsgroups: net.math
Subject: Re: roots for quintic polynomial
Message-ID: <920005@acf4.UUCP>
Date: Mon, 10-Jun-85 12:54:00 EDT
Article-I.D.: acf4.920005
Posted: Mon Jun 10 12:54:00 1985
Date-Received: Wed, 12-Jun-85 20:17:43 EDT
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/* acf4:net.math / anthony@utcsstat.UUCP (Anthony Ayiomamitis) /  3:32 am  Jun  6, 1985 */
Subject: roots of quintic polynomial

>	I am looking for equations (and references, if possible) which can be
>used to determine the roots of a fifth-order polynomial. Any help would be
>greatly appreciated !!!
 
        There are no such equations for general quintic polynomials.  The
  formulas for general cubic and quartic can be found in most reasonable
  mathematical handbook.  There may exist closed form roots to quintic
  polynomials, but only polynomials whose coefficients satisfy very
  restrictive conditions.  If you can reduce the case to quartics by
  computing one root by some numerical method and factoring thats a method
  that is nearly closed form, but root finding past fourth degree poly-
  nomials is an iterative procedure by nature.

                                         Michael Mascagni
                                         CIMS