Find the Real Solutions, If Any, of the Equation $$x ^ { 2 } + 8 x - 3 = 0$$

question 36

Multiple Choice

Find the real solutions, if any, of the equation. Use the quadratic formula.
- $$x ^ { 2 } + 8 x - 3 = 0$$

• A) \(\{ 4 + \sqrt { 19 } \}\)
• B) \(\{ - 1 - \sqrt { 19 } , - 1 + \sqrt { 19 } \}\)
• C) \(\{ - 4 - \sqrt { 19 } , - 4 + \sqrt { 19 } \}\)
• D) \(\{ - 4 - 1 \sqrt { 19 } , - 4 + 1 \sqrt { 19 } \}\)

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Definitions:

Fixed Proportions

A production scenario where inputs are used in a constant ratio, regardless of the level of output.

Coefficient of Elasticity

A measure used in economics to quantify how responsive the quantity demanded or supplied of a good is to a change in one of its determinants, such as price.

Labor Demand

The sum total of labor that employers are keen and able to take on at a certain wage level throughout a defined period.

Wage Rates

Wage rates refer to the standard amount of compensation offered to employees for their labor services per unit of time or unit of output.