Find All Solutions of the Equation $$x ^ { 3 } + 8 i = 0$$

question 351

Multiple Choice

Find all solutions of the equation. Leave answers in trigonometric form.
- $$x ^ { 3 } + 8 i = 0$$

• A) \(\left\{ 2 \operatorname { cis } 270 ^ { \circ } , 2 \operatorname { cis } 210 ^ { \circ } , 2 \right.\) cis \(\left. 150 ^ { \circ } \right\}\)
• B) \(\left\{ 2 \operatorname { cis } 90 ^ { \circ } , 2 \operatorname { cis } 150 ^ { \circ } , 2 \operatorname { cis } 30 ^ { \circ } \right\}\)
• C) \(\left\{ 2 \operatorname { cis } 90 ^ { \circ } , 2 \operatorname { cis } 210 ^ { \circ } , 2 \operatorname { cis } 330 ^ { \circ } \right\}\)
• D) \(\left\{ 2 \operatorname { cis } 270 ^ { \circ } , 2 \operatorname { cis } 30 ^ { \circ } , 2 \operatorname { cis } 150 ^ { \circ } \right\}\)

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Definitions:

Agreeableness

A personality trait characterized by warmth, kindness, and a cooperative and sympathetic attitude towards others.

Personality Development

The growth and development of the aspects of a person's character and psychological traits over time.

Group Membership

The state or condition of being a part of a group, organization, or community, often associated with shared objectives or characteristics.

Self Competency

The capability to comprehend and regulate one's own abilities, feelings, and actions efficiently.