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Re: Help from someone with a CAS requested.
Posted:
Nov 15, 2012 5:24 PM
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In article <50A42515.AB08D67@btinternet.com>, Frederick Williams <freddywilliams@btinternet.com> wrote:
> Elsewhere (1 - q^r)/(r(1 - q)) = (1 + c^(r/2))/2 is being discussed. > > Can some kind, helpful, generous person tell me what q is as a function > of c and r?
Clearing the fractions gives you a polynomial equation of degree r in q, which means trouble if r > 4. But choosing particular values of c and r allows a numerical method such as Newton-Raphson.
Formulae like this turn up in financial mathematics, so it's not hard to find elementary treatments such as <http://www.ifitbreaks.com/solving.htm>.
Ken Pledger.
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