Solve the Equation by Completing the Square $$x ^ { 2 } + 8 x = 3$$

question 28

Multiple Choice

Solve the equation by completing the square.
- $$x ^ { 2 } + 8 x = 3$$

• A) \(\{ - 1 \pm \sqrt { 19 } \}\)
• B) \(\{ - 4 \pm \sqrt { 19 } \}\)
• C) \(\{ 4 + \sqrt { 19 } \}\)
• D) \(\{ - 4 \pm 2 \sqrt { 19 } \}\)

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Definitions:

Fixed Component

A cost or portion of cost that remains unchanged regardless of the level of output or activity.

Least-Squares Regression

A statistical method used to determine the line of best fit by minimizing the sum of the squares of the differences between observed and predicted values.

Lubrication Cost

Expenses associated with the lubrication of machinery and equipment to ensure smooth operation and reduce wear and tear.

Net Operating Income

Income originating from a corporation's central business endeavors, excluding subtractions for interest and taxes.