Resolução da equação de terceiro grau no ensino médio

Abstract

Mathematics is a very old science, which is present in everyone’s daily life as a powerful and essential instrument. With regard to the emergence of Algebra, which the content of this dissertation covers, there are reports that this branch of mathematics probably started in Babylon, 1700 BC. Important renaissance mathematicians, such as del Ferro, Tartaglia and Cardano, contributed to the discovery of resolving formulas for cubic equations. Since this subject is frequent in entrance exams of large institutions, it is necessary to oppose the withdrawal of this content from the current BNCC, as its absence restricts knowledge and makes access to public and private institutions difficult. Considering the absence of this subject in the new didactic materials made available to the public school system, this work elaborated a didactic sequence aiming at its possible use by the network’s educators. For its elaboration, Cardano’s formula was used as the main method of solving cubic equations, associated with the traditional method, existing in textbooks. This methodology was chosen because it demonstrates great efficiency and reduces possible adverse situations, thus allowing greater coverage.