Question
Mathematics Question on complex numbers
Let α be a root of the equation 1 + x2 + x4 = 0. Then the value of α1011 + α2022 – α3033 is equal to
A
1
B
α
C
1+α
D
1+2α
Answer
1
Explanation
Solution
The correct answer is (A) : 1
1 + x2 + x4 = 0
ω1011 + ω2022 - ω3033
= (ω3)337 + (ω3)674 - (ω3)1011
= 1+1-1
= 1