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Question

Find 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

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B

3

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C

12

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D

13

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Solution

The correct option is B

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, (half of coefficient of x)

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


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