Find All Solutions of the Equation $$x ^ { 5 } - 243 = 0$$

question 286

Multiple Choice

Find all solutions of the equation. Leave answers in trigonometric form.
- $$x ^ { 5 } - 243 = 0$$

• A) \(\{ 3 , - 3 \}\)
• B) \(\left\{ 3 \operatorname { cis } 0,3 \operatorname { cis } \frac { 2 \pi } { 5 } , 3 \operatorname { cis } \frac { 4 \pi } { 5 } , 3 \operatorname { cis } \frac { 6 \pi } { 5 } , 3 \operatorname { cis } \frac { 8 \pi } { 5 } \right\}\)
• C) \(\left\{ 243 \operatorname { cis } 0,243 \operatorname { cis } \frac { 2 \pi } { 5 } , 243 \operatorname { cis } \frac { 4 \pi } { 5 } , 243 \operatorname { cis } \frac { 6 \pi } { 5 } , 243 \operatorname { cis } \frac { 8 \pi } { 5 } \right\}\)
• D) \(\left\{ 3 \operatorname { cis } \frac { \pi } { 5 } , 3 \operatorname { cis } \frac { 3 \pi } { 5 } , 3 \right.\) cis \(\pi , 3\) cis \(\frac { 7 \pi } { 5 } , 3\) cis \(\left. \frac { 9 \pi } { 5 } \right\}\)

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Definitions:

Operations Management

The administration of business practices aimed at ensuring maximum efficiency within a company, focusing on managing processes and materials to produce goods and services.

Behavioral

Pertaining to the actions or reactions of persons or organisms in response to external or internal stimuli.

McGregor

Refers to Douglas McGregor's Theory X and Theory Y, which are concepts that describe two contrasting models of workforce motivation and management.

Theory Y

A theory of management that assumes employees are self-motivated, seek responsibility, and are creative problem solvers.