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

question 21

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) \(x = - 9 i , - \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } i , - \frac { 9 \sqrt { 3 } } { 2 } + \frac { 9 } { 2 } i\)

Recognize the importance of economic efficiency in relation to capital expansion and utilization.

Identify and define long-lasting resources, such as capital goods, used for future production expansion.

Describe the factors affecting people’s willingness to pay more for immediate access to goods or resources.

Understand how interest rates in the loanable funds market are determined by factors like risk and expected inflation.

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Definitions:

Equity Multiplier

An equity multiplier is a financial ratio that measures the proportion of a company’s total assets financed by its shareholders' equity, demonstrating the degree of financial leverage being used.

M

Typically represents the mean or average in statistical contexts.

Arithmetic Mean

A measure of central tendency calculated by summing all the scores and dividing by the number of scores. See Mean.

Mode

The number that occurs most often in a collection of data.