Use the Square Root Property to Solve the Equation $$x ^ { 2 } + x + 7 = 0$$

question 155

Multiple Choice

Use the square root property to solve the equation.
- $$x ^ { 2 } + x + 7 = 0$$

• A) \[- \frac { 1 } { 2 } \pm \frac { \sqrt { 27 } } { 2 } \mathrm { i }\]
• B) \[\frac { - 1 \pm \sqrt { 27 } } { 2 }\]
• C) \[\frac { 1 \pm \sqrt { 27 } } { 2 }\]
• D) \[\frac { 1 } { 2 } \pm \frac { \sqrt { 27 } } { 2 } \mathrm { i }\]

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Definitions:

Standard Deviation

A statistical measure that quantifies the variability or dispersion of a set of data points or investment returns.

Variability

Describes the extent to which data points in a data set or distribution differ from the average or mean value.

Return

Return refers to the earnings generated and realized on an investment over a particular period of time, expressed as a percentage.

Theoretical Finance

A field of finance that seeks to understand and model the behavior of financial markets through mathematical and statistical methods.