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Summary

1. If ax2 + bx + c becomes 0 for x =α then α is known as the root of the Equation. Similarly, if ax2 + bx + c becomes 0 for x =, then is another root of the equation.
Any quadratic equation will have two roots, as the degree is two.

2. For, ax2 + bx + c = 0, a ¹
0
     x =


3. The nature of the roots depends on D, the discriminant and D= .
 

4. If D = b2 - 4ac > 0, then the roots are real and distinct.
         < 0, then there are no real roots.
         = 0, then the roots are real and equal.

5 .A Quadratic equation can also be solved by completing the squares.





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