CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the roots of the equation 32x3−48x2 + 22x - 3 = 0, if it's given that the roots are in arithmetic progression (A.P).

A
14,12,34
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3, 5, 7
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1, 2, 3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12,1,32
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 14,12,34
Sum of the roots =ba=(4832)=32
Check for the options.
Only option (a) gives sum equal to 32, hence is correct answer.

Alternatively:
Let the roots be a - d, a, a + d
Let us also compare the equation with ax3+bx2 + cx + d = 0
The sum of the roots =ba=(4832)=32
a - d + a + a + d =32a=12
Product of the roots =(332)
a(a2d2)=332 ((12)2d2)=332×2 d2=116 d=±14
Roots are 12, (12+14), (1214)=12, 34, 14

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Equations
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon