Solve the Equation $\frac { 5 } { x + 6 } + \frac { 2 } { x ^ { 2 } + 4 x - 12 } = - \frac { 4 } { x - 2 }$

question 13

Multiple Choice

Solve the equation. Check for extraneous solutions. $\frac { 5 } { x + 6 } + \frac { 2 } { x ^ { 2 } + 4 x - 12 } = - \frac { 4 } { x - 2 }$

• A) \(x = - \frac { 8 } { 3 }\)
• B) \(x = - \frac { 16 } { 9 }\)
• C) \(x = - \frac { 4 } { 3 }\)
• D) x=-12
• E) x=-16

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Out-Group

Out-Group refers to social groups with which an individual does not identify, often perceived as different or separate from one’s in-group, which can affect attitudes and behaviors towards members of these groups.

Pariah

An individual who is despised or avoided by others, often due to being outcast from their social group.

Fundamental Attribution Errors

A cognitive bias where people are more likely to attribute another’s actions to their character or disposition rather than to external factors.

Internal Attribution Biases

The tendency to attribute one's successes to internal factors and failures to external factors, often underestimating situational influences.