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

question 355

Multiple Choice

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

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

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Definitions:

Repudiates

The action of refusing to accept, acknowledge, or be associated with; in contract law, it refers to the refusal to fulfill contractual obligations.

Sober

A state of being free from the influence of alcohol or drugs, characterized by clear thinking and the absence of intoxication.

Agency Agreement

A contract in which one party (the agent) agrees to act on behalf of another party (the principal) in business transactions.

Commission

A fee or percentage of a transaction paid to an agent or broker for facilitating a sale or service.