Complex NumbersHard
Question
If α is non real and α = 5√1 then the value of 2|1 + α + α2 + α-2 - α-α| is equal to
Options
A.4
B.2
C.1
D.none of these
Solution
α = 11/5
consider x5 - 1 = 0
So
= 2|1 + α + α2 + a3 - α4|
= 2|-α4 - α4| = 4|α4| = 4
consider x5 - 1 = 0
So
= 2|1 + α + α2 + a3 - α4|= 2|-α4 - α4| = 4|α4| = 4
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