Problem: If x=21−i3​​ where i=−1​, then x2−x1​ is equal to
Answer Choices:
A. −2
B. −1
C. 1+i3​
D. 1
E. 2
Solution:
x2−x=41​(1−i3​)2−21​(1−i3​)=41​(−2−241​3​)−21​(1−i3​)=−1 and the reciprocal requested is also −1.