Location of Complex Roots of a Real Quadratic

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration shows the location of the real or complex roots of the real-valued function . The real-valued parabola (yellow contour) is superimposed on the plot of the surface of the real component . The zeros of are then those values for which the real and imaginary components are zero simultaneously. The real surface is plotted and the level curve where the real part is zero (purple) is shown. Similarly, the imaginary surface is plotted and the level curve where the imaginary part is zero (green) is shown. Where the purple and green lines meet are the values where the function is zero, and these spots are illustrated by red dots.

Contributed by: Dominic Milioto (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send