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
⇒ x2 + x/2 – 2 = 0
⇒ x2 + 2 × 1/4 × x + (1/4)2 - (1/4)2 – 2 = 0
⇒ (x + 1/4)2 = 33/16
⇒ x + 1/4 = � √33/4
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