wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If α, β, γ are the roots of the equation x3+4x+1=0,then (α+β)1+(β+γ)1+(γ+α)1=


A

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

4


If α,β, γ are the roots of the equation

α+β+γ=0,αβ+βγ+γα=4,αβγ=1

therefore(α+β)1+(β+γ)1+(γ+α)1
=1γ+1α+1β
=(αβ+βγ+γααβγ)
=(41)=4


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon