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Solving Quadratic Equations – The Discriminant

Solving Quadratic Equations – The Discriminant. The Discriminant is the expression found under the radical symbol in the quadratic formula. Discriminant =. Case I:. Discriminant. Example:. Three possible solutions of a quadratic equation. (discriminant is positive).

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Solving Quadratic Equations – The Discriminant

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  1. Solving Quadratic Equations – The Discriminant • The Discriminant is the expression found under the radical symbol in the quadratic formula. • Discriminant =

  2. Case I: Discriminant Example: Three possible solutions of a quadratic equation. (discriminant is positive) Two Different Real Solutions

  3. Case II: Example: (discriminant is zero) One Repeated Real Solution

  4. Case III: Example: (discriminant is negative) Two Different Complex Solutions

  5. Case I: • Case II: • Case III: Summary Two Different Real Solutions One Repeated Real Solution Two Different Complex Solutions

  6. Example 1: Determine the type and number of solutions for the quadratic equation. Move all terms to left side Determine the values of a, b, and c

  7. Two Different Real Solutions Determine the value of the discriminant

  8. END OF PRESENTATION Click to rerun the slideshow.

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