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

If the two roots of 9x3+24x2+13x+2=0 are equal, then the roots are:

A
2,13, 13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2,13,13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1,13,13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2,13,13
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 2,13,13
Let the roots of the equation be a,a,b.
the sum of roots is 2a+b=249....... (i)
The product of roots: a2b=29.............(ii)
Product of roots taken two at a time: a(a+2b)=139........(iii)
a0
(iii) can be written as: a+2b=139a......... (iv)
Solving (i) and (ii), we get
a=13 or 139
If a=139, then b=18169, ( from equation (ii))
But this does not satisfy (i) and (iii).
a139
If a=13, then b=2
Hence, roots are 2,13,13
Option D is correct.

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