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Q.

Letα,β  be the roots of equation x2+ x+1=0 , then the equation whose roots are α19,β7  is

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a

x2−x−1 = 0

b

x2−x + 1 = 0

c

x2+ x−1 =0

d

x2+ x + 1 = 0

answer is D.

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Detailed Solution

α=ω, β=ω2 α19=ω19=ω, β7=ω14=ω2  since ω3=1The equation whose roots are ω,ω2 is x2+x+1=0
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