  According to the Abel-Ruffini theorem, equations of degree equal to or
greater than 5 cannot, in most cases, be solved by radicals. Due of this
theorem we will present a formula that solves specific cases of sixth degree
equations using Martinellis polynomial as a base. To better understand how this
formula works, we will solve a sixth degree equation as an example. We will
also see that all sixth degree equations that meet the coefficient criterion
have a resolvent of fifth degree that can be splitted into a second degree and
a third degree equation. Throughout the paper we will see a demonstration of
the ratio of the coefficients of a sixth degree equation that can be solved
with the formula that will be presented this paper
