First slide

Theory of equations

Question

If $1 - i$ is a root of the equation $x^{2} - ax + b = 0,$ then $b =$

Moderate

A

$- 2$
B

$- 1$
C

$1$
D

$2$

Solution

$1 - i$ is a root of the equation so $x = 1 - i$
$\Rightarrow (x - 1) = - i \Rightarrow {(x - 1)}^{2} = {(- i)}^{2} \Rightarrow x^{2} - 2 x + 2 = 0$
By comparison, $a = 2, b = 2 .$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App