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Method of completing the square : This method works with both real and imaginary roots.1) Express ax2 + bx + c = 0 as ax2 + bx = - c 2) Make sure that a = 1 (if a ¹ 1, multiply both sides by 1/a ) 3) To make L. H. S. a perfect square we add ( 1/2 ´ coefficient of x )2
i.e. (b/2)2 4) Find the square roots of both sides. 5) Solve the resulting equation. Example Solve x2 - 4x + 1 = 0 Solution : x2 - 4x + 1 = 0 
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4.1 Theorem |