Find Complex Root of z^5=0 | Math Solutions

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Discussion Overview

The discussion focuses on finding the complex roots of the equation z5 = 0, exploring the nature of the roots and their multiplicities.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • Some participants state that the equation has one real root, which is 0.
  • Others propose that there is a single complex root, also 0.
  • One participant mentions that this root has a multiplicity of 5.

Areas of Agreement / Disagreement

Participants generally agree that the root is 0, but there are differing views on the characterization of the root as either real or complex, and the implications of its multiplicity.

Amer
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how to find the complex root of

z^5 = 0 there is one real root 0
 
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This equation has a single complex root, i.e., 0.
 
Evgeny.Makarov said:
This equation has a single complex root, i.e., 0.

with a multiplicity of 5.
 
thanks
 

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