The document discusses finding the roots of quadratic equations. It introduces using the discriminant to determine the type of roots, and using the quadratic formula to find the actual roots. It also explains how to write the quadratic equation given the roots, with the sum of the roots as the coefficient of x and the product of the roots as the constant term. The document provides examples of finding a quadratic equation based on given roots.

1. Nature of
Roots

2. Find the roots for each of the following equations in
whatever manner you would like:

3. We can use the discriminant to determine the type of roots
Discriminant =

6. Properties of the roots of a Quadratic Equation
Using the quadratic formula
the roots are at:

7. We can use the roots to write the quadratic equation
x2 ­ (sum of roots)x + (product of roots) = 0
sum =

8. product =

9. Find a quadratic equation whose roots are and

10. Write a quadratic equation with integer coefficients
given the roots and

11. And Now It's time
Exercise 16
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