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

1.	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
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

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

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