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

Let α and β be the roots of the equation x2+x+1=0. The equation whose roots are α19, β7 is

A
x2x1=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x2x+1=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x2+x1=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x2+x+1=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D x2+x+1=0

Give x2+x+1=0
x=12[1±i3]=12(1+i3),12(1i3)=ω,ω2
But α19=ω19=ω and β7=ω14=ω2.
Hence the equation will be same.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving Question Types- Length Based Approach Part 3
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon