Solve the Equation Exactly in the Complex Number System $$x ^ { 3 } + 125 = 0$$

question 82

Multiple Choice

Solve the equation exactly in the complex number system.
- $$x ^ { 3 } + 125 = 0$$

• A) \(x = - \frac { 5 } { 2 } , x = \frac { 5 } { 2 } \pm \frac { 5 i \sqrt { 3 } } { 2 }\)
• B) \(x = - 5 , x = \frac { 5 } { 2 } + \frac { 5 i \sqrt { 3 } } { 2 } , x = - \frac { 5 } { 2 } - \frac { 5 i \sqrt { 3 } } { 2 }\)
• C) \(x = 5 , x = \frac { 5 } { 2 } \pm \frac { 5 i \sqrt { 3 } } { 2 }\)
• D) \(x = - 5 , x = \frac { 5 } { 2 } \pm \frac { 5 i \sqrt { 3 } } { 2 }\)

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