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?
Dividing by the coefficient of x2, we get
a=1, b=72, c=32
Adding and subtracting the square of b2=74,
Taking Square root, (x−74)=(±54)
Taking positive sign 54, x=3
Taking negative sign −54, x=12