Summations math problem

  • Thread starter Big-Daddy
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  • #1
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Main Question or Discussion Point

[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?
 

Answers and Replies

  • #2
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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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