Question

If one root of the equation ix² – 2 (1 + i)x + (2 – i) = 0 is 2–i ,

Then the other root is –

• A. –I
• B. 2 + I
• C. I
• D. 2–i

Answer 1

Answer: (A)

–I

Answer 2

α + β = $\frac{2(1 + i)}{i} \times \frac{i}{i} = \frac{2i - 2}{- 1}$= 2 – 2i

⇒ 2 – i + β = 2 – 2i ⇒ β = – i