Solve the Equation by Completing the Square $4 x ^ { 2 } = 20 - 32 x$

question 36

Multiple Choice

Solve the equation by completing the square. $4 x ^ { 2 } = 20 - 32 x$

• A) \(x = 32\) , \(x = - \sqrt { 6 }\)
• B) \(x = - 4 \pm \sqrt { 21 }\)
• C) \(x = 6 \pm \sqrt { 6 }\)
• D) \(x = 4 \pm \sqrt { 21 }\)
• E) \(x = 4\) , \(x = - 4\)

---

Definitions:

Independent Variable

The variable in an experiment or study that is manipulated or changed by the researcher to observe its effect on the dependent variable.

Dependent Variable

The variable in an experiment or study that is expected to change as a result of manipulations of the independent variable.

Coefficient of Determination

A measure used in statistical models that defines the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

Coefficient of Correlation

A statistical measure that calculates the strength and direction of the relationship between two variables or data sets.