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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 8,557 of 10,432    |
|    rubenhogenhout@zonnet.nl to All    |
|    Re: QUINTIC BY RADICALS    |
|    07 Apr 14 17:43:04    |
      Op woensdag 11 augustus 2004 16:35:06 UTC+2 schreef Bassam Karzeddin:       > DEAR NEWS GROUBSalam Every bodyThe reduced form of the Bring-Jerrard quintic       equation is:x^5+a*x+b=(x^2+u*x-1)*(x^3-u*x^2+[u^2+1]*x-u^3-2*u)=0where,       a=-(u^4+3u^2+1)b=u^3+2uas you can see,it is very simple to prove,just by       multiblication you will get        this algebraic factorization of the quintic.so,whatever value you assume for       (u) ,you will always obtain fife radical solutions to the quintic,Best       RegardsBassam KarzeddinP.O.Box 20Engineering & Project Circle AL-HUSSEIN BIN       TALAL UNIVERSITYMA,AN-       71111JORDAN *******************************Mobile : +962796666505              Is not right because with a= -(u^4+3u^2+1) you calculate with the coefficient       a allready the u and this will be a different u you will calculate        with b = u^3+2u after that. So for a randum Quintic in Bring form you will       find two values for u and so the quintic will most times not factor.       There are special Quintic that do factor. But the most will not so this is no       general solution.              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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