O método de Newton-Raphson na solução da equação 2 x = x 2: uma motivação para o estudo da existência de logaritmo de números negativos

Abstract

In this work are discussed about two central problems: the solution for equation 2 x = x 2 and the existence of logarithm of negative numbers. In this sense, the Newton- Raphson method, some aspects about complex numbers and Taylor's series are presented with detail. Our aim was produce a good research and study material directed for teachers of basic education and undergraduate students.