Solve the Equation by Using the Square Root Property $$( 3 x + 10 ) ^ { 2 } = 81$$

question 190

Multiple Choice

Solve the equation by using the square root property.
- $$( 3 x + 10 ) ^ { 2 } = 81$$

• A) \(\left\{ \frac { 61 } { 6 } i , - \frac { 61 } { 6 } i \right\}\)
• B) \(\left\{ - \frac { 1 } { 3 } \right\}\)
• C) \(\left\{ \frac { 61 } { 6 } , - \frac { 61 } { 6 } \right\}\)
• D) \(\left\{ - \frac { 1 } { 3 } , - \frac { 19 } { 3 } \right\}\)

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Definitions:

Groupthink

A deterioration of mental efficiency, reality testing, and moral judgment in the interest of group solidarity; extreme form of consensus

Harmony

A state of agreement or concord, often used to describe peaceful and coherent relationships among individuals or elements within a whole.

Group Solidarity

The unity, cohesion, and sense of belonging among members of a group, often seen in shared goals or values.

Self-Oriented

Focused on oneself, often concerning personal interests, welfare, or benefit, possibly at the expense of others.