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

If α and βare the roots of the equation x2+3x-4=0,then1/α+1/βis equal to


A

-3/4

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

3/4

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

-4/3

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

4/3

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

3/2

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

The correct option is B

3/4


Find the value of 1/α+1/β:

Given that α and βare the roots of the equation x2+3x-4=0,

(α+β)=-3 and α.β=-4

Now, 1α+1β=(β+α)αβ

1α+1β=-3-41α+1β=34

Hence, the correct option is B.


flag
Suggest Corrections
thumbs-up
6
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Finite and Infinite Sets
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon