Notes Over 9.6 Using the Discriminant

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Presentation transcript:

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

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

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

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

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

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

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

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 1990. Use the discriminant to show that the revenue for the company will reach $150 million. It will reach $150 million

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.

Notes Over 9.6