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

If p,q are odd integers, then the roots of the equation
2px2+(2p+q)x+q=0 are

A
rational
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
irrational
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
non-real
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
equal
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A rational
2px2+(2p+q)x+q=0x=(2p+q)±(2p+q)28pq4px=(2p+q)±(2pq)24p =(2p+q)±(2pq)4px=1,q2p
From here, we can say that the roots are not equal but rational.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Arithmetic Progression
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon