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) \(x = - 6 , x = \pm i\)

---

Definitions:

Payroll Tax

Assessments required from employers or their employees, usually expressed as a percentage of the remuneration that staff earn.

Federal Income Taxes

Taxes levied by the national government on individual and business earnings.

Married Couple

A legally recognized union between two individuals, typically involving a public declaration of commitment.

Transfer Payments

Payments made by governments to individuals or other sectors in the economy, typically without any goods or services being received in return.