Find All Solutions to the Following Equation $x ^ { 3 } + 729 = 0$

question 213

Multiple Choice

Find all solutions to the following equation. $x ^ { 3 } + 729 = 0$

• A) \(x = - 9\)
• B) \(x = 9 i , - \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } i , \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } i\)
• C) \(x = - 9 i\)
• D) \(x = 9 i , - \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } i , - \frac { 9 \sqrt { 3 } } { 2 } + \frac { 9 } { 2 } i\)
• E) \(x = - 9 i , - \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } i , - \frac { 9 \sqrt { 3 } } { 2 } + \frac { 9 } { 2 } i\)

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