First slide

Theory of equations

Question

If one root of the equation x² + (1+3i)x-2(1-i) = 0 is -1 + i, then the other root is

Moderate

A

-1-i
B

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

i
D

2i

Solution

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

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