Additional Concepts
-$$x ^ { 3 } - 1 = 0$$
A) $1 , - \frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i } , - \frac { 1 } { 2 } - \frac { \sqrt { 3 } } { 2 } \mathrm { i }$
B) $1 , \frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i } , - \frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i }$
C) $1 , \frac { 1 } { 2 } - \frac { \sqrt { 3 } } { 2 } i , - \frac { 1 } { 2 } - \frac { \sqrt { 3 } } { 2 } i$
D) $- 1,1$

Question

Quizplus · Accepted Answer

The equation $x^3 - 1 = 0$ can be factored as $(x-1)(x^2+x+1)=0$. The roots of $x^2+x+1=0$ are complex and given by $-\frac{1}{2} \pm \frac{\sqrt{3}}{2}i$, making option A correct.

Additional Concepts - x3−1=0x ^ { 3 } - 1 = 0x3−1=0

Additional Concepts
- $x ^ { 3 } - 1 = 0$