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

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) $x = - 9 i , - \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } i , - \frac { 9 \sqrt { 3 } } { 2 } + \frac { 9 } { 2 } i$

Correct Answer:

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