1. Quadratic Formula & Discriminant
Mr. Peter Richard will be Teaching you how to discriminate in math. Do not practice discrimination in real life, however. We are all equal.

2. Discriminant The Discriminant
In the quadratic formula, the expression underneath the radical that describes the nature of the roots.

3. Understanding the discriminant
# of real roots
2 real roots
1 real root
No real roots
2 Imaginary Roots

4. Example 1

5. Example 2
2 Complex or Imaginary Roots!

6. Using the discriminant Put in Correct Order First!!

7. Try This One Yourself!

8. Try This 1, 2!

9. Recap Of All Three Types
9x2+6x-4=0
a=9, b=6, c=-4
b2-4ac=(6)2-4(9)(-4)
=36+144=180
2 real solutions
c. 9x2+6x+5=0
a=9, b=6, c=5
b2-4ac=(6)2-4(9)(5)
=36-180=-144
2 imaginary solutions
Find the discriminant and give the number and type of solutions.
9x2+6x+1=0
a=9, b=6, c=1
b2-4ac=(6)2-4(9)(1)
=36-36=0
1 real solution

10. Assignment Quiz: Page 293-295 # 32, 34, 36, 38, 76
Homework: # 31, 33, 35, 37, 39