Question

Find the roots​ of the quadratic equation 2x^2 -5x +3=0 by completing the square method

Answer 1

$2x^2 -5x +3=0$ is the quadratic equation given.

We have to find the roots using completion of squares method.

Multiply the given equation by 2.

$4x^2 -10x +6=0:</p> <p>(2x)^2-2(2x)(5/2) +(5/2)^2 +6-(5/2)^2 =0</p> <p>(2x-5/2)^2 = 1/4</p><p>Take square roots both the sides</p> <p>(2x-5/2) = 1/2 or (2x-5/2) = -1/2</p><p>Solving</p> <p>2x =6 Or 2x = 2</p><p>x=3 or x =1$

Answer:  Roots are 3 and 1