Comment *different* link (Score 1) 482
There's a (not yet /.-ed) link:
http://hal.ccsd.cnrs.fr/docs/00/00/32/74/PDF/The-r oots-of-any-polynomial-equation.pdf
Also I'm afraid that it's been done before http://library.wolfram.com/examples/quintic/main.h tml#diffeq