Find All Solutions to the Following Equation $x ^ { 3 } + 729 = 0$

question 213

Multiple Choice

Find all solutions to the following equation. $x ^ { 3 } + 729 = 0$

• A) \(x = - 9\)
• B) \(x = 9 i , - \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } i , \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } i\)
• C) \(x = - 9 i\)
• D) \(x = 9 i , - \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } i , - \frac { 9 \sqrt { 3 } } { 2 } + \frac { 9 } { 2 } i\)
• E) \(x = - 9 i , - \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } i , - \frac { 9 \sqrt { 3 } } { 2 } + \frac { 9 } { 2 } i\)

Understand the different stages of sleep and their characteristics.

Recognize brain wave patterns associated with various states of consciousness.

Describe the effects of sleep deprivation on human behavior and cognitive performance.

Explain the concept of consciousness and its various states.

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Definitions:

Economic Theories

The principles and models that aim to explain how economies work and how economic agents interact.

Descriptive Economics

The branch of economics that focuses on describing the economies or economic events.

Post Hoc, Ergo Propter Hoc

A logical fallacy that suggests that if one event follows another, the first event must have caused the second.

Fallacy

A mistaken belief, especially one based on unsound argument or reasoning.