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Concept explainers
To draw the conclusion that each complex nth root lies on the circle with center of the origin also to find the radius of the circle.
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Answer to Problem 64AYU
The radius of the circle is equal to magnitude
Explanation of Solution
Let be any non-zero
The distinct complex roots of
are
, where
is a complex number,
and
The complex root of the non-zero complex number is-
Where
On plotting the coordinates on the graph the value of coordinate will be-
Now, let us find the magnitude of the distance from the point of origin-
So, the magnitude of distance remains constant of the point from the origin and radius of the circle is equal to magnitude
Chapter 9 Solutions
Precalculus
Additional Math Textbook Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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