COSTA, J. D. H. L.; http://lattes.cnpq.br/3710211124011365; COSTA, Jebson David Henriques de Lima.
Resumen:
In this work we present some methods used to solve the equations.
algebraic by radicals, such as the false position rule used by the Egyptians and the
square completion used by Hindus to find solutions to equations
high school. The method independently discovered by Scipione Del Ferro and
Nicolo de Fontana (Tartaglia) consisted in transforming the entire equation of the third degree
to a form called reduced and give a solution by radicals. the mathematician Ferrari
found a general formula for equations of the fourth degree. He regrouped the terms of
so that on both sides of the equality there are perfect square polynomials. Being
if possible, the square roots would be extracted, falling into equations of the second
degree, and the problem would be solved. The first convincing proof of impossibility
of solving the quintic equation was established, in the beginning of the 19th century, by the ma-
Norwegian thematic NH Abel. Abel's work was completed by the French genius
E. Galois.