Q6 of 242 Page 8

Find the roots of the following quadratic (if they exist) by the method of completing the square.

We have to make the quadratic equation a perfect square if possible or sum of perfect square with a constant.


(a + b)2 = a2 + 2ab + b2



⇒ (2x)2 + 2 × 2x × √3 + (√3)2 = 0


⇒ (2x + √3)2 = 0


Thus, x = -√3/2, -√3/2


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