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

question 308

Multiple Choice

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

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

---

Definitions:

General Career Objective

A broad statement of professional goals or aspirations intended for inclusion in a resume or CV.

High School Jobs

Employment opportunities available to individuals who are still in high school or have recently graduated, often part-time or seasonal.

Web Resumé

An online version of a CV or resume, showcasing an individual's professional background and skills on the internet.

Email Link

A hyperlink embedded in an email, clicking on which can redirect the recipient to a specified website or document.