Use the Square Root Property to Solve the Equation $( 3 x + 4 ) ^ { 2 } = 5$

question 12

Multiple Choice

Use the square root property to solve the equation.
- $( 3 x + 4 ) ^ { 2 } = 5$

• A) \(\frac { \sqrt { 5 } - 4 } { 3 } , \frac { \sqrt { 5 } + 4 } { 3 }\)
• B) \(- 3 , \frac { 1 } { 3 }\)
• C) \(\frac { 4 - \sqrt { 5 } } { 3 } , \frac { 4 + \sqrt { 5 } } { 3 }\)
• D) \(\frac { - 4 - \sqrt { 5 } } { 3 } , \frac { - 4 + \sqrt { 5 } } { 3 }\)

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Definitions:

pH

A logarithmic scale used to specify the acidity or basicity of an aqueous solution, ranging from 0 to 14.

HAc

Acetic acid, a colorless liquid organic compound with the chemical formula CH3COOH, known for its sour taste and pungent smell.

K

The symbol for potassium, a chemical element with atomic number 19, essential for plant growth and functioning of the nervous system in animals.

pH

A measurement system that determines whether an aqueous solution is acidic or basic, scaling from 0 (highly acidic) to 14 (highly basic).