Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 10
Ali Hussein Mahmood Al-Obaidi
ali.alobaidi81@yahoo.com
a)
When
When
,
1.11 The nth roots of unity:
We want to find the equation
Since
College of Education for Pure Sciences
Physics Department
Three Stage
Let
Then
1
Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 10
Ali Hussein Mahmood Al-Obaidi
College of Education for Pure Sciences
Physics Department
Three Stage
ali.alobaidi81@yahoo.com
So that
Thus
Since
Thus
unity is
Also
. Thus the nth roots of
In complex plane the nth roots of unity are the vertices of regular
polygon of
sides inscribed in circle
with one vertex at the point
EX:-Find all the
roots of unity
2
Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 10
Ali Hussein Mahmood Al-Obaidi
College of Education for Pure Sciences
Physics Department
Three Stage
ali.alobaidi81@yahoo.com
Sol:- we get
H.W:-Find the square roots of unity?
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