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Q.

If α=cos2π5+isin2π5  is a fifth root of unity (α1) , then the equation having roots a=α+α4  and  b=α2+α3  is____

 

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a

x2+x1=0

b

x2x1=0

c

x2+x+1=0

d

x2x+1=0

answer is A.

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Detailed Solution

1+α+α2+α3+α4=0,a+b=1andab=1

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