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Mathematics Test 30

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Mathematics Test 30
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  • Question 1
    4 / -1

    If ω (≠ 1) is a cube root of unity, and (1 + ω)7 = A + Bω. Then (A, B) equals:

    Solution

    (1 + ω)7 = A + Bω
    We know that 1 + w + w2 = 0 

    => (-ω2)7 = A + Bω 
    => -w14 = A + Bω 
    => - ω12 x ω2 = A + Bω 
    w12 = 1
    => -ω2 = A + Bω 
    1 + ω = A + Bω 
    ⇒ A = 1, B = 1. 
    Hence, option B is correct.

     

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