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1. Locus of the Solutions of a Complex Quadratic Equation
This Demonstration plots the locus of the solutions of a complex quadratic equation
;
is fixed and
moves on a circle with center
and radius
, where
is a point on the circle.
If
, the locus is a Cassini oval with one loop.
If
, the locus is a Cassini oval with two loops.
If
, the locus is a Bernoulli lemniscate.
Contributed by:
Marko Razpet
and
Izidor Hafner
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
RELATED LINKS
Quadratic Equation
(
Wolfram
MathWorld
)
Cassini Ovals
(
Wolfram
MathWorld
)
Lemniscate
(
Wolfram
MathWorld
)
1. Constructing a Point on a Cassini Oval
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Marko Razpet
and
Izidor Hafner
"
1. Locus of the Solutions of a Complex Quadratic Equation
"
http://demonstrations.wolfram.com/1LocusOfTheSolutionsOfAComplexQuadraticEquation/
Wolfram Demonstrations Project
Published: October 29, 2018
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