Solve the Equation Using the Quadratic Formula $$4 x ^ { 2 } = - 12 x - 6$$

question 172

Multiple Choice

Solve the equation using the quadratic formula.
- $$4 x ^ { 2 } = - 12 x - 6$$

• A) \(x = \frac { - 3 + \sqrt { 3 } } { 2 }\) or \(x = \frac { - 3 - \sqrt { 3 } } { 2 }\)
• B) \(x = \frac { - 12 + \sqrt { 3 } } { 2 }\) or \(x = \frac { - 12 - \sqrt { 3 } } { 2 }\)
• C) \(x = \frac { - 3 + \sqrt { 15 } } { 2 }\) or \(x = \frac { - 3 - \sqrt { 15 } } { 2 }\)
• D) \(x = \frac { - 3 + \sqrt { 3 } } { 8 }\) or \(x = \frac { - 3 - \sqrt { 3 } } { 8 }\)

---

Definitions:

Chronological Age

The measure of an individual's age in years, typically calculated from the date of birth to the current date.

Mental Ability

The capacity to perform cognitive tasks, solve problems, and learn from experiences.

Practical Intelligence

The aspect of intelligence relating to the ability to solve everyday problems through adaptive or creative reasoning in real-world environments.

Knowledge

Facts, information, and skills acquired through experience or education; the theoretical or practical understanding of a subject.