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

question 239

Multiple Choice

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

• A) \(\left\{ 2 \operatorname { cis } 180 ^ { \circ } , 2 \operatorname { cis } 120 ^ { \circ } , 2 \operatorname { cis } 300 ^ { \circ } \right\}\)
• B) \(\left\{ 2 \operatorname { cis } 180 ^ { \circ } , 2 \operatorname { cis } 120 ^ { \circ } , 2 \operatorname { cis } 240 ^ { \circ } \right\}\)
• C) \(\left\{ 2 \operatorname { cis } 180 ^ { \circ } , 2 \operatorname { cis } 60 ^ { \circ } , 2 \operatorname { cis } 300 ^ { \circ } \right\}\)
• D) \(\left\{ 2 \operatorname { cis } 180 ^ { \circ } , 2 \operatorname { cis } 240 ^ { \circ } , 2 \operatorname { cis } 240 ^ { \circ } \right\}\)

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Definitions:

Relationship

The way in which two or more concepts, objects, or people are connected, or the state of being connected.

Isolated

Being far away from other places, buildings, or people; remote or separated, often leading to limited access to resources or social interaction.

Self-esteem

An individual's subjective evaluation of their own worth or abilities.

Rejuvenating

The process of making someone or something look or feel better, younger, or more vital.