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:

Probability Of Success

Refers to the chance that a given event will occur, often denoted in statistics by the symbol p.

Probability Of Failure

The probability that a system or component will not execute its designated purpose as expected.

Expected Value

A calculated average or mean of all possible outcomes of a random variable, considering the probabilities of each outcome.

Binomial Random Variable

A type of discrete random variable that arises in situations where an experiment or process is repeated a fixed number of times, with each trial having two possible outcomes (success or failure) and a constant probability of success.