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The Quadratic Formula and the Discriminant

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Presentation on theme: "The Quadratic Formula and the Discriminant"— Presentation transcript:

1 The Quadratic Formula and the Discriminant

2 The Discriminant

3 The Discriminant The Discriminant is: Way to solve:
Number and kind of solutions Positive and Square Factor 2 Rational Zero 1 Rational Positive not square Quadratic formula or Complete the square 2 Irrational Negative Don’t solve Imaginary Solutions

4 Picture: Positive Discriminant
2 Real Solutions

5 Picture: Zero Discriminant
1 Real Solution

6 Picture: Negative Discriminant
0 Real Solution. 2 Complex Solutions.

7 Using the discriminant

8 Using the discriminant

9 Using the discriminant

10 Using the discriminant

11 Using the discriminant

12 Using the discriminant

13 Using the discriminant

14 Worksheet If the discriminant is positive and not square alternate complete the square and quadratic formula.

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