Abstract

The first solution to the quartic equation is attributed to Lodovico Ferrari, a student of Geralamo Cardano. The solution was published alongside the solution of the cubic in Cardano’s book Ars Magna [1]. In this Article, we introduce a new canonical form to simplify the derivation of the roots of the equation (1) $${z^4} + {z^3} + f{z^2} + g = 0\quad \textrm{with}\quad f,g \in \mathbb{R}.$$

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