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If one root of the equation $x^{2} + (1 - 3 i) x - 2 (1 + i) = 0$ is -1 + i, then the other root is

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-1- i

$\frac{- 1 - i}{2}$

answer is D.

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Detailed Solution

Let another root of equation
$\begin{aligned} x^{2} + (1 - 3 i) x - 2 (1 + i) = 0 is α \\ ∴ α + (- 1 + i) = - (1 - 3 i) \\ \Rightarrow α = 2 i \end{aligned}$

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