• Re: QUINTIC EQUATION

    From bassam karzeddin@21:1/5 to All on Sun Sep 10 14:15:09 2023
    On Monday, May 10, 2004 at 4:14:10 AM UTC+3, Mbasti25 wrote:
    Dear newsgroup:
    M.Fajjal wrote:
    “Cadenhad, Young, and Runge showed in 1885 that all irreducible
    Solvable quintics with Coefficients of x^4, x^3, and x^2 missing have
    The following form
    (1+v^2)*x^5+5u^4*(4v+3)*x +4u^5(2v+1)(4v+3)
    Where u and v are rational
    How the roots can be calculated in a radical form”
    I do not think that it is easy to calculate the roots by algebraic methods. My methods of differential equations will eventually solve many of them.
    Look at this thread and the similar ones (in Math Froum): http://mathforum.org/epigone/sci.math.symbolic/velvelskil/w1tdyk2sjnc7@for um.mathforum.com
    With the dynamic methods of class polynomials we will shift the problem into one of the members of a class of higher orders and solve them.
    Thus once my papers on class polynomials are published more comments about these issues will be provided.
    Also please provide the sources of the above theorem.
    I hope this is satisfactory.
    Sincerely
    Dr.Mehran Basti

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