Question

# What is one of the roots of the quadratic equation 2x2−7x+3=0 by the method of completion of the square? Also, what is the equation obtained after completion of the square?

A

6

B

3

C

12

D

13

Solution

## The correct option is C 3 2x2−7x+3=0 Dividing by the coefficient of x2, we get x2−72x+32=0;  a=1, b=72, c=32 Adding and subtracting the square of b2=74, we get, [x2−2(74)x+(74)2]−(74)2+32 =0  (x−74)2−2516=0 Taking Square root, (x−74)=(±54) Taking positive sign 54, x=3 Taking negative sign −54, x=12

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