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

How do you solve x26x=16 by completing the square?


Open in App
Solution

Solve the given equation:

Given that x26x=16

To complete the square, add square of (12 of co-efficient of x) to both sides i.e. -622=9

x2+2(3)x+9=16+9

(x3)2=25

Take the square root of both sides,

(x3)2=25

x3=±5

x=3±5

x=35orx=3+5

x=2orx=8

Hence, the solution of the given equation is x=2orx=8.


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