CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

What is one of the roots of the quadratic equation 2x27x+3=0 by the method of completion of the square? Also, what is the equation obtained after completion of the square?



Your Answer
A

6

Correct Answer
B

3

Your Answer
C

12

Your Answer
D

13


Solution

The correct option is C

3


2x27x+3=0
Dividing by the coefficient of x2, we get
x272x+32=0;
 a=1, b=72, c=32

Adding and subtracting the square of b2=74,

we get,
[x22(74)x+(74)2](74)2+32
=0 

(x74)22516=0

Taking Square root, (x74)=(±54)
Taking positive sign 54, x=3
Taking negative sign 54, x=12

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image