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## Main Question or Discussion Point

[tex]kx^n = \sum_{j=1}^n ({(j-k)x^{n-j}d_j})[/tex]

d

Is there any way of solving this generally for x? Or is a polynomial the best I can do?

d

_{j}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?