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4. Locus of the Solutions of a Complex Quadratic Equation
This Demonstration constructs the locus of the solutions of a complex quadratic equation
, where
is fixed and
moves along a line through
and
.
The locus is an algebraic curve of degree three. Special cases are the union of a circle and a line or a line and a point.
Contributed by:
Marko Razpet
and
Izidor Hafner
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RELATED LINKS
Hyperbola
(
Wolfram
MathWorld
)
Algebraic Curve
(
Wolfram
MathWorld
)
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
"
4. Locus of the Solutions of a Complex Quadratic Equation
"
http://demonstrations.wolfram.com/4LocusOfTheSolutionsOfAComplexQuadraticEquation/
Wolfram Demonstrations Project
Published: October 29, 2018
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