id: 06664678
dt: j
an: 2016f.01102
au: Laine, A.D.
ti: Graphical solution of the monic quadratic equation with complex
coefficients.
so: Aust. Sr. Math. J. 29, No. 2, 24-30 (2015).
py: 2015
pu: Australian Association of Mathematics Teachers (AAMT), Adelaide, SA
la: EN
cc: H30 F50
ut: quadratic equations; complex coefficients
ci:
li:
ab: Summary: There are many geometrical approaches to the solution of the
quadratic equation with real coefficients. In this article it is shown
that the monic quadratic equation with complex coefficients can also be
solved graphically, by the intersection of two hyperbolas; one
hyperbola being derived from the real part of the quadratic equation
and one from the imaginary part. Both hyperbolas are of relatively
simple form. Special solutions correspond to one or both of the
hyperbolas being degenerate. This article is of potential interest to
secondary school students with some exposure to complex numbers and
first year university students. (ERIC)
rv: