Find All Solutions to the Following Equation $x ^ { 3 } - 8 = 0$

question 65

Multiple Choice

Find all solutions to the following equation. $x ^ { 3 } - 8 = 0$ ​

• A) \(x = 1,1 + i \sqrt { 3 } , 1 - i \sqrt { 3 }\)
• B) \(x = 2 , - 2\)
• C) \(x = - 2,2 - i \sqrt { 3 } , 2 + i \sqrt { 3 }\)
• D) \(x = 2\)
• E) \(x = 2 , - 1 + i \sqrt { 3 } , - 1 - i \sqrt { 3 }\)

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Definitions:

Overgeneralization

A cognitive distortion where a person applies one experience or rule too broadly, leading to inaccurate conclusions.

Selective Thinking

A cognitive bias that involves focusing only on information that confirms one’s preconceptions, ignoring evidence that contradicts them.

Cognitive-Behavioral

A psychological approach that addresses dysfunctional emotions, behaviors, and cognitions through a goal-oriented, systematic process.

Illogical Cognitions

Refers to thoughts or thought processes that are not based on logic or sound reasoning.