id: 06664666
dt: j
an: 2016f.01101
au: Bardell, Nicholas S.
ti: Some comments on the use of de Moivre’s theorem to solve quadratic
equations with real or complex coefficients.
so: Aust. Sr. Math. J. 28, No. 2, 7-14 (2014).
py: 2014
pu: Australian Association of Mathematics Teachers (AAMT), Adelaide, SA
la: EN
cc: H30 F50
ut: de Moivre’s theorem; quadratic equations; complex coefficients
ci: ME 2013d.00569; ME 2016f.01100
li:
ab: 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, 6‒20
(2012; ME 2013d.00569); ibid. 28, No. 1, 7‒28 (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)
rv: