wiz-icon
MyQuestionIcon
MyQuestionIcon
2819
You visited us 2819 times! Enjoying our articles? Unlock Full Access!
Question

Which constant must be added and subtracted to solve the quadratic equation 9x2+34x2=0 by the method of completing the square?


A

18

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

164

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

14

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

964

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

The correct option is B

164


Given equation is 9x2+34x2=0
(3x)2+14(3x)2=0
On putting 3x = y, we have y2+14y2=0
y2+14y+(18)2(18)22=0(y+18)2=164+2(y+18)2=12964

y=±129818

y=12918 or (129+1)8

Thus, (18)2=164 must be added and subtracted to solve the given equation.


flag
Suggest Corrections
thumbs-up
10
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving QE by Completing the Square
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon