  The generic monic polynomial of sixth degree features 6 a priori arbitrary
coefficients. We show that if these 6 coefficients are appropriately defined in
two different ways|in terms of 5 arbitrary parameters, then the 6 roots of the
corresponding polynomial can be explicitly computed in terms of radicals of
these parameters. We also report the 2 constraints on the 6 coefficients of the
polynomial implied by the fact that they are so defined in terms of 5 arbitrary
parameters; as well as the explicit determination of these 5 parameters in
terms of the 6 coefficients of the sextic polynomial.
