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Polynomial Root Solution

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Jon

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Nov 28, 2009, 1:04:31 AM11/28/09
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GENERAL FORMULA FOR THE ROOTS TO THE nth DEGREE POLYNOMIAL

a[0] + a[1]x + a[2]x^2 + a[3]x^3 + ... + a[n]x^n = 0

x = { (C^((j-1)/n))*S }^(1/(n-j)) j=1,2,3,...,n-1

ALL SUMS ARE FROM p=1 to n

C = 1 - (a[0]*SUM a[p])/(SUM (a[p])^2)

S = (1/(5^(1/2)))*SUM{(D^(2n-2p))*(C^((2p-2)/n))}

D = -a[0]/SUM{a[p]*C^((p-1)/n)}


Jon Giffen

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