Q. The equation $\mathcal{z}^{5} + \mathcal{z}^{4} + \mathcal{z}^{3} + \mathcal{z}^{2}\mathcal{+ z} + 1 = 0$ is satisfied by
A) $\mathcal{z} = \pm 1$
B) $\mathcal{z} = - 1$
C) $\mathcal{z = \pm}\frac{1}{2} + \frac{i\sqrt{3}}{2}$
D) None of the above
Explanation
The correct answer is Option B: $\mathcal{z} = - 1$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.