
06664666
j
2016f.01101
Bardell, Nicholas S.
Some comments on the use of de Moivre's theorem to solve quadratic equations with real or complex coefficients.
Aust. Sr. Math. J. 28, No. 2, 714 (2014).
2014
Australian Association of Mathematics Teachers (AAMT), Adelaide, SA
EN
H30
F50
de Moivre's theorem
quadratic equations
complex coefficients
ME 2013d.00569
ME 2016f.01100
Summary: This paper describes how a simple application of de Moivre's theorem may be used to not only find the roots of a quadratic equation with real or generally complex coefficients but also to pinpoint their location in the Argand plane. This approach is much simpler than the comprehensive analysis presented by the author [ibid. 26, No. 2, 620 (2012; ME 2013d.00569); ibid. 28, No. 1, 728 (2014; ME 2016f.01100)], but it does not make the full visual connection between the Cartesian plane and the Argand plane that Bardell's three dimensional surfaces illustrated so well. (ERIC)