*Post by spiny urchin*http://www.stonetabernacle.com/7th-degree-root.html

for anyone interested. This treats the 7th, 25th, 1000th and nth degree

polynomials, their solutions and how to arrive at them.

I assume:

Each fractional equation can be transformed into a polynomial equation by

repeated isolation of a single fractional term at one side of the equation

and mutiplying the equation by the denominator of the isolated fractional

term.

Each root equation can be transformed into a polynomial equation by repeated

isolation of a single root term at one side of the equation and mutiplying

the equation by the denominator of the exponent of the isolated root term.

The coefficients of the resulting polynomial equation can in general be

symbolically written in terms of Bell polynomials with the help of the

multinomial coefficients. The Bell polynomials are partion polynomials. That

means, they describe the numbers and types of integer partitions and set

partitions.