Finding Complex Roots: Can You Trust Your Calculator?
Barbara Ciesla, John Watson
January 2006, Volume 99, Issue 5, Page 366
This article investigates a specific instance when the
textbook answer for finding a root of a complex number differed with the answer
given by the TI-83. After explaining the reason for the difference the article
then expands the definition of the integral root of a complex number to an
arbitrary complex power of a complex number. Read now to see where false
assumptions might be made based on the results of a calculator and see
explanations of how to overcome those assumptions with logic and proof.
Problem Solving / Problem Posing
Reasoning and Proof