Concept explainers
(a)
Thefourth roots of
(a)

Answer to Problem 78E
Thefourth roots of
Explanation of Solution
Given info:
Formula used:
The trigonometric form of the
Where
For a positive integer n the complex number
where k = 0, 1, 2, . . . , ,n -1.
Calculation:
We have
Thefourth roots of
Conclusion:
Thus,the fourth roots of
(b)
The standard form of each of the roots.
(b)

Answer to Problem 78E
The standard formof the roots are
Explanation of Solution
Given info:
Thefourth roots of
The trigonometric form of the complex number
Where
Calculation:
The roots from part a are
We have
The standard formof the roots are
Conclusion:
Thus,the standard formof the roots are
(c)
The roots graphically.
(c)

Answer to Problem 78E
Please refer calculation part.
Explanation of Solution
Given info:
Thefourth roots of
Formula used:
The trigonometric form of the complex number
Where
Calculation:
Graphical representation of roots are given by
Conclusion:
Thus,the graphical representation of roots are given.
Chapter 6 Solutions
EBK PRECALCULUS W/LIMITS
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