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

question 297

Multiple Choice

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

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

---

Definitions:

Samples

Selected portions or subsets of a population used in statistical analysis to represent the whole.

Relationships

Connections or associations between individuals, based on feelings, interactions, and social bonds.

Volunteer Bias

The tendency for volunteers, such as in research studies, to differ from the general population in significant ways, potentially skewing results.

Random Sampling

A method of selecting a sample from a population in which every individual has an equal chance of being chosen.