Solve the Equation by Completing the Square $$2 x ^ { 2 } + 12 x + 3 = 0$$

question 178

Multiple Choice

Solve the equation by completing the square.
- $$2 x ^ { 2 } + 12 x + 3 = 0$$

• A) \(\left\{ \frac { - 12 - \sqrt { 30 } } { 2 } , \frac { - 12 + \sqrt { 30 } } { 2 } \right\}\)
• B) \(\left\{ \frac { - 6 - \sqrt { 30 } } { 2 } , \frac { - 6 + \sqrt { 30 } } { 2 } \right\}\)
• C) \(\left\{ \frac { - 6 - \sqrt { 30 } } { 4 } , \frac { - 6 + \sqrt { 30 } } { 4 } \right\}\)
• D) \(\left\{ \frac { - 6 - \sqrt { 42 } } { 2 } , \frac { - 6 + \sqrt { 42 } } { 2 } \right\}\)

---

Definitions:

Hereditary Factors

Genetic influences on individual characteristics, behaviors, and psychological traits.

Unconscious Forces

Mental processes that are not directly accessible to consciousness but influence judgments, feelings, or behavior.

Normal Children

Children who exhibit typical developmental milestones and behaviors according to their cultural and societal standards.

Identity Crises

A period of uncertainty and confusion in which a person's sense of identity becomes insecure, typically due to a change in their expected aims or role in society.