Solve the Equation by the Square Root Property $$( 7 x + 5 ) ^ { 2 } = 14$$

question 319

Multiple Choice

Solve the equation by the square root property.
- $$( 7 x + 5 ) ^ { 2 } = 14$$

• A) \(\left\{ \pm \frac { \sqrt { 3 } } { 7 } \mathrm { i } \right\}\)
• B) \(\left\{ \frac { - 5 \pm \sqrt { 14 } } { 7 } \right\}\)
• C) \(\left\{ \frac { - 5 + \sqrt { 14 } } { 7 } \right\}\)
• D) \(\{ - 5 \pm \sqrt { 14 } \}\)

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Definitions:

Proportion

A part, share, or number considered in comparative relation to a whole; a statistical term referring to the ratio of one part to the whole.

Null Hypothesis

A hypothesis in statistical testing that proposes no statistical significance exists in a set of given observations.

Chi-square Test

A statistical test used to determine the association between categorical variables, measuring how expectations compare to actual observed data.

Proportion

In statistics, it measures the part or fraction of the total that exhibits a specific trait or characteristic.