Concept explainers
(a)
To solve: given equation.
(a)
Answer to Problem 100E
The roots of
Explanation of Solution
Given:
Calculation:
Consider
Find the roots of
Use De Moivre’s Theorem to rewrite the roots. Recall that for a polynomial
In this case,
Thus, the quadratic formula gives:
Hence, the roots of
De Moivre’s Theorem is not necessary.
Conclusion:
Hence, the roots of
(b)
To solve: given equation.
(b)
Answer to Problem 100E
The roots of
Explanation of Solution
Given:
Calculation:
Consider
Find the roots of
In this case,
Hence, the roots of
De Moivre’s Theorem is not necessary.
Conclusion:
Hence, The roots of
(c)
To solve: given equation.
(c)
Answer to Problem 100E
The roots of
Explanation of Solution
Given:
Calculation:
Consider
Find the roots of
Use De Moivre’s Theorem to rewrite the roots. Recall that for a polynomial
In this case,
Thus, the quadratic formula gives:
Hence, the roots of
De Moivre’s Theorem is not necessary.
Conclusion:
Hence, the roots of
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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