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0 votes
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in Mathematics by (53.3k points)

If α ,β ,γ  are roots of x– 3x+ 3x + 7 = 0 and ω is a complex cube roots of unit

(a)   ω

(b)  2ω

(c)  2ω2

(d)  3ω2

1 Answer

+1 vote
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Best answer

Correct option (d)  3ω2

Explanation:

(x – 1)3 = –8

x–1 = ≠

x –1 = – 2, –2ω, –2ω2 

x = – 1, 1–2ω, 1 – 2ω2 

Let α = –1 β = 1 – 2ωγ = – 1 –2ω2 

α = –1 = - 2; β - 1 =  – 2ωγ – 1= –2ω2 

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