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# Summary

1. If ax2 + bx + c becomes 0 for x =Î± then Î± 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 Â¹
0
Â Â Â Â  x =

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

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

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