(a)
To calculate:
The fifth roots of
(a)
Answer to Problem 110E
The fifth roots of complex number are
Explanation of Solution
Given information:
Complex number is
Formula used:
The formula to calculate the roots of complex number are given by,
Where,
Calculation:
Now first find the roots of the complex number by using the above formula,
For
First find for
Now, for
For
For
Now in the last step find for
(b)
To calculate:
And write the roots in standard form
(b)
Answer to Problem 110E
The roots in standard form are
Explanation of Solution
Given information:
The roots of complex number are:
Calculation:
Now here to find the standard form of the roots,
As the value of
And
Now write the standard form of all the given roots in trigonometric form.
For
The standard form of
The standard form of
The standard form of
Now the standard form of
(c)
To graph:
The roots in graphical form.
(c)
Explanation of Solution
Given information:
Roots given,
Graph:
Interpretation:
The graph of the fifth roots
Chapter 6 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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