Solve the Equation by Completing the Square $4 x ^ { 2 } - 5 x + 28 = 0$

question 33

Multiple Choice

Solve the equation by completing the square. $4 x ^ { 2 } - 5 x + 28 = 0$

• A) \(x = \frac { 5 } { 8 } \pm \frac { \sqrt { 423 } i } { 8 }\)
• B) \(x = \frac { 25 } { 8 } \pm \frac { \sqrt { 62 } i } { 2 }\)
• C) \(x = \frac { 5 } { 8 } \pm \frac { \sqrt { 473 } } { 8 }\)
• D) \(x = \frac { 5 } { 8 } \pm \frac { \sqrt { 62 } } { 8 }\)
• E) \(x = \frac { 25 } { 8 } \pm \frac { \sqrt { 423 } } { 4 }\)

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Definitions:

Materials Price Variance

The difference between the actual cost of materials used in production and the standard cost that was expected or budgeted.

Labor Efficiency Variance

The difference between the actual hours worked and the standard hours expected to produce a certain amount of goods, multiplied by the standard labor rate, indicating efficiency in labor use.

Variable Overhead Efficiency Variance

The difference between the actual variable overhead incurred and the standard cost allocated, based on the actual production volume.

Materials Quantity Variance

A financial measure that captures the difference between the actual amount of materials used in production and the standard amount expected, multiplied by the standard cost of those materials.