Solved

Find Three Distinct Complex Numbers Z Such That Z³ = $\frac{\sqrt[3]{2}}{2}(1+\sqrt{3} i), \frac{\sqrt[3]{2}}{2}(1-\sqrt{3} i), \frac{\sqrt[3]{2}}{2}(-1+\sqrt{3} i)$

Question 26

Multiple Choice

Find three distinct complex numbers z such that z³ = -2

A) $\frac{\sqrt[3]{2}}{2}(1+\sqrt{3} i) , \frac{\sqrt[3]{2}}{2}(1-\sqrt{3} i) , \frac{\sqrt[3]{2}}{2}(-1+\sqrt{3} i)$
B) $\sqrt[3]{2}, \frac{\sqrt[3]{2}}{2}(1+\sqrt{3} i) , \frac{\sqrt[3]{2}}{2}(1-\sqrt{3} i)$
C) $-\sqrt[3]{2}, \frac{\sqrt[3]{2}}{2}(1+\sqrt{3} i) , \frac{\sqrt[3]{2}}{2}(1-\sqrt{3} i)$
D) $\frac{\sqrt[3]{2}}{2}(1+\sqrt{3} i) , \frac{\sqrt[3]{2}}{2}(1-\sqrt{3} i) , \frac{\sqrt[3]{2}}{2}(-1-\sqrt{3} i)$