Q2 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




⇒ (x – 7/4)2 = 25/16


⇒ x – 7/4 = �5/4


⇒ x = 3, 1/2


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