General Solutions to Polynomial equations? (Score 2, Interesting)

Being a "young student", he certainly deserves honorable mention for his discovery. Unfortunately though, I don't think that it is new math. I think it is the well-known "Lagrange Inversion Formula" in disguise. See http://encyclopedia.thefreedictionary.com/Lagrange %20inversion%20theorem Set "z" there to s. Set "w" there to x. Set "f(w)" = - (a_n x^n + ... + a_1 x). So "w = g(z)" is then x = g(s). I believe that the "a" there (the initial estimate for "w") would be -a_{n-1} / n a_n. Give it a try.