The Quadratic Formula and the Discriminant

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Presentation transcript:

The Quadratic Formula and the Discriminant

The Discriminant

The Discriminant The Discriminant is: Way to solve: Number and kind of solutions Positive and Perfect Square Factor 2 Rational Zero 1 Rational Positive not Perfect square Quadratic formula or Complete the square 2 Irrational Negative Don’t solve No Real Solutions

Picture: Positive Discriminant 2 Real Solutions

Picture: Zero Discriminant 1 Real Solution

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

Using the discriminant

Using the discriminant

Using the discriminant

Using the discriminant

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