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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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Index

4.1 Theorem
4.2 Definition
4.3 Methods of Solving Quadratic Equations

Chapter 5

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