Solve Quadratic Equations by the Square Root Property
Solve the Equation

question 280

Multiple Choice

Solve Quadratic Equations by the Square Root Property
Solve the equation by the square root property.
- $$( 4 x + 3 ) ^ { 2 } = 7$$

• A) \(\left\{ \frac { - 3 - \sqrt { 7 } } { 4 } , \frac { - 3 + \sqrt { 7 } } { 4 } \right\}\)
• B) \(\left\{ \frac { 3 - \sqrt { 7 } } { 4 } , \frac { 3 + \sqrt { 7 } } { 4 } \right\}\)
• C) \(\left\{ \frac { \sqrt { 7 } - 3 } { 4 } , \frac { \sqrt { 7 } + 3 } { 4 } \right\}\)
• D) \(\left\{ - \frac { 5 } { 2 } , 1 \right\}\)

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Definitions:

Magnesium

A mineral and a key component of many enzymes, playing a critical role in various physiological processes including muscle and nerve function, blood sugar control, and blood pressure regulation.

Carbon Dioxide Metabolism

The process by which living organisms produce energy through the oxidation of carbon dioxide, or its involvement in photosynthesis in plants.

Phosphorus

A chemical element with the symbol P, essential for life, involved in the formation of DNA, cell membranes, and bone and teeth structure.

Nucleic Acids

Complex organic substances that carry genetic information, consisting of two main types: DNA and RNA.