WOLFRAM|DEMONSTRATIONS PROJECT

1B Locus of Solutions of a Complex Quadratic Equation

move q

0

center of circle

point on circle


p


plot range
	3
show axes



set p = 0

This Demonstration plots the locus of the solutions of a complex quadratic equation

2

z

-2pz+

2

q

=0

(rather than

2

z

-2pz+q=0

). The point

q

moves on a circle with center

s

and radius

r=b-s

, with

b

a point on the circle.