>  >>A simple way to solve such intractable equations is by iteration. Write
>  >>your equation as
>  >>f(k) = k(1.0625)^(1/k) - k - 0.061  = 0
>  >>Then there are various "trial-and-error" numerical methods that take 1 or 2
>  >>guesses as to the root of f(k)=0, and attempt to produce a value close to a
>  >>true root.
>
>  >Are there any "not so simple ways" (ie, a way which takes the prof. three
>  >blackboards to write) to do it? This question is asked only to satisfy my
>  >curiosity, the iteration example works like a charm.
>
>Most non-linear equations, even in one variable, cannot be solved
>analytically. So numerical root-finding methods make a big chapter in books
>on numerical methods. It sounds as though you would enjoy "Numerical
>Recipes" by Press WH, Teukolsky SA, Vettering WT, & Flannery BP, as one of
>of the better books.
>
>Robert P.
>

To the untrained observer, Robert P. appears to know everything about 
everything. But in the true spirit of one-up-manship, let me suggest 
that he knows absolutely nothing about sex with siblings and animals. 
Please forward all questions on these topics to STAZ.



Best,

-STAZ  ~)~

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