First slide

Algebra of complex numbers

Question

Let $α a n d β$ be the roots of the equation $x^{2} + x + 1 = 0 .$ The equation whose roots are $α^{19}, β^{7}$ is

Easy

A

x² – x – 1 = 0
B

$x^{2} - x + 1 = 0$
C

$x^{2} + x - 1 = 0$
D

$x^{2} + x + 1 = 0$

Solution

Let $α = ω, β = ω^{2}$ so that $α^{19} = ω$ and $β^{7} = ω^{2}$
$∴$ equation whose roots are $α^{19}, β^{7}$ is $x^{2} + x + 1 = 0$

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