%0 Journal Article %T On a General Sextic Equation Solved by the Rogers Ramanujan Continued Fraction %A Nikos Bagis %J Mathematics %D 2011 %I arXiv %X In this article we solve a general class of sextic equations. The solution follows if we consider the $j$-invariant and relate it with the polynomial equation's coefficients. The form of the solution is a relation of Rogers-Ramanujan continued fraction. The inverse technique can also be used for the evaluation of the Rogers-Ramanujan continued fraction, in which the equation is not now the depressed equation but another quite more simplified equation. %U http://arxiv.org/abs/1111.6023v2