Solve the Equation by the Method of Your Choice $$( 3 x + 2 ) ^ { 2 } = 6$$

question 60

Multiple Choice

Solve the equation by the method of your choice.
- $$( 3 x + 2 ) ^ { 2 } = 6$$

• A) \(\left\{ - \frac { 8 } { 3 } , \frac { 4 } { 3 } \right\}\)
• B) \(\left\{ \frac { \sqrt { 6 } \pm 2 } { 3 } \right\}\)
• C) \(\left\{ \frac { 2 \pm \sqrt { 6 } } { 3 } \right\}\)
• D) \(\left\{ \frac { - 2 \pm \sqrt { 6 } } { 3 } \right\}\)

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Definitions:

Intrinsic Motivation

The internal desire to perform a task for its own sake because it is interesting or enjoyable, without relying on external rewards or pressures.

Prejudice

Preconceived opinion or bias against an individual or group without sufficient knowledge, thought, or reason.

Self-esteem

Someone's internal judgement of their own significance or value.

Cognitive Control

The ability of individuals to regulate their own cognitive processes, including their thoughts, attention, and emotions.