1. Notes Over 9.6 Using the Discriminant
The discriminant is the expression under the radical:
If it is Positive:
If it is Zero:
If it is Negative:
Then there are Two Solutions
Then there is One Solution
Then there is No Solution

2. Notes Over 9.6 One Solution Finding the Number of Solutions
Tell if the equation has two solutions, one solution, or no solution.
One Solution

3. Notes Over 9.6 Two Solutions Finding the Number of Solutions
Tell if the equation has two solutions, one solution, or no solution.
Two Solutions

4. Notes Over 9.6 No Solution Finding the Number of Solutions
Tell if the equation has two solutions, one solution, or no solution.
No Solution

5. Notes Over 9.6 One Solution Finding the Number of Solutions
Tell if the equation has two solutions, one solution, or no solution.
One Solution

6. Notes Over 9.6 No Solution Finding the Number of Solutions
Tell if the equation has two solutions, one solution, or no solution.
No Solution

7. Notes Over 9.6 Two Solutions Finding the Number of Solutions
Tell if the equation has two solutions, one solution, or no solution.
Two Solutions

8. Notes Over 9.6 Using the Discriminant in a Real-Life Problem
7. You work as an accountant for a sporting goods company. You have been asked to project the revenue of the company. The revenue of the company from 1990 to 1995 can be modeled by
where R is the revenue in millions of dollars and t is the number of years since Use the discriminant to show that the revenue for the company will reach $150 million.
It will reach $150 million

9. Notes Over 9.6 Modeling a Vertical Motion
8. Use a graphing calculator to find how many years it will take for the revenue to reach $90 million.

10. Notes Over 9.6