Solve the Equation Exactly in the Complex Number System $$x ^ { 3 } - 6 x ^ { 2 } + x - 6 = 0$$

question 19

Multiple Choice

Solve the equation exactly in the complex number system.
- $$x ^ { 3 } - 6 x ^ { 2 } + x - 6 = 0$$

• A) \(x = \pm 1 , x = 6\)
• B) \(x = 6 , x = \pm i\)
• C) \(x = \pm 6 , x = 1\)
• D) \(x = - 6 , x = \pm i\)

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Definitions:

Hardy Personalities

Individuals who exhibit resilience and a positive attitude in the face of stress and adversity.

Promotion-Related Stress

The stress experienced either in the pursuit of a promotion or as a result of the challenges associated with a new, higher-level position.

Strain Reactions

Negative physical or emotional responses that occur when the demands of a task exceed an individual's ability to cope.

Personality Hardiness

A personality characterized by commitment, control, and challenge and, hence, resistant to distress.