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Summations math problem

  1. Dec 26, 2013 #1
    [tex]kx^n = \sum_{j=1}^n ({(j-k)x^{n-j}d_j})[/tex]

    dj is a constant but dependent on j, i.e. independent of x. k is an integer varying between n (which is also an integer) and 0 but it can be assumed that k can equal neither n nor 0.

    Is there any way of solving this generally for x? Or is a polynomial the best I can do?
  2. jcsd
  3. Dec 26, 2013 #2


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    Gold Member

    You are in fact asking for exact ways of solving polynomial equations.As far as I know,there is no general formula encompassing polynomials of any degree.Take a look at here.
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