Solve the Cubic Equation Using Factoring and the Quadratic Formula $$x ^ { 3 } - 1 = 0$$

question 264

Multiple Choice

Solve the cubic equation using factoring and the quadratic formula.
- $$x ^ { 3 } - 1 = 0$$

• A) \(\{ 1 , \pm i \}\)
• B) \(\{ 1 , - 1 \pm i \sqrt { 3 } \}\)
• C) \(\left\{ 1 , - \frac { 1 } { 2 } \pm \frac { \sqrt { 3 } } { 2 } \mathrm { i } \right\}\)
• D) \(\{ 1,1 \pm i \sqrt { 3 } \}\)

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Definitions:

Ultrasonography

A diagnostic imaging technique that uses high-frequency sound waves to create images of organs and structures inside the body.

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A condition characterized by an excessive amount of calcium in the urine.

Calcium

A chemical element essential for living organisms, primarily in bone formation and maintenance, blood clotting, and muscle function.

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The production of abnormally large volumes of dilute urine, which can be a sign of various medical conditions.