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0 votes
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in Mathematics by (53.3k points)

If (x – 1)4 –16 = 0, then the sum of non real complex roots of the equation is

(a)  2

(b)  0

(c)  4

(d)  None of these 

1 Answer

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by (63.3k points)
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Best answer

Correct option (a) 2

Explanation:

(x – 1)4 = 16

x – 1 = (16)1/4

x – 1 = ± 2, ± 2i

x = 1 ± 2, 1 ± 2i

Sum of non-real roots is (1 + 2i) + (1 – 2i) = 2

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