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 – 2 × 2√2 + (2√2)2 – (2√2)2 + 6 = 0
⇒ (x – 2√2)2 = 2
⇒ x = �√2 + 2√2
⇒ x = 3√2, √2
1