Solve the Equation by Completing the Square $16 \mathrm { x } ^ { 2 } + 1 = 7 \mathrm { x }$

question 162

Multiple Choice

Solve the equation by completing the square.
- $16 \mathrm { x } ^ { 2 } + 1 = 7 \mathrm { x }$

• A) \(\frac { - 7 - i \sqrt { 15 } } { 32 } , \frac { - 7 + i \sqrt { 15 } } { 32 }\)
• B) \(\frac { 7 - i \sqrt { 15 } } { 32 } , \frac { 7 + i \sqrt { 15 } } { 32 }\)
• C) \(\frac { - 7 - \mathrm { i } \sqrt { 15 } } { 32 } , \frac { 7 + \mathrm { i } \sqrt { 15 } } { 32 }\)
• D) \(\frac { 7 - \mathrm { i } \sqrt { 15 } } { 32 } , \frac { - 7 + \mathrm { i } \sqrt { 15 } } { 32 }\)

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Definitions:

Operating Leverage

A financial metric that measures the proportion of fixed costs in a company's cost structure, indicating how a change in sales volume will affect operating income.

Variable Cost

Costs that vary directly with levels of production or sales volume, such as materials and labor.

Cost Structure

This refers to the types and relative proportions of fixed and variable costs that a business incurs.

Fixed Costs

are business expenses that remain the same regardless of the level of output or sales, such as rent, salaries, and loan payments.