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The Quadratic Formula and the Discriminant

The Quadratic Formula and the Discriminant. College Algebra 1.4 (day3 Notes). We have a number of different ways of finding the roots of a quadratic equation. #1. Solve by Taking Square Roots #2. Factoring #3. Completing the Square Now a new way that comes from completing the square.

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The Quadratic Formula and the Discriminant

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  1. The Quadratic Formula and the Discriminant College Algebra 1.4 (day3 Notes)

  2. We have a number of different ways of finding the roots of a quadratic equation #1. Solve by Taking Square Roots #2. Factoring #3. Completing the Square Now a new way that comes from completing the square. The Quadratic Formula

  3. The Quadratic Formula Solve for x by completing the square.

  4. Yes, you can remember this formula Pop goes the Weasel http://www.youtube.com/watch?v=2lbABbfU6Zc&feature=related Gilligan’s Island http://www.youtube.com/watch?v=3CWTt9QFioY&feature=related This one I can’t explain http://www.youtube.com/watch?v=haq6kpWdEMs&feature=related

  5. How does it work Equation:

  6. How does it work Equation:

  7. The Discriminant The number in the square root of the quadratic formula.

  8. The Discriminant

  9. The Discriminant The Discriminant can be negative, positive or zero If the Discriminant is positive, there are 2 real answers. If the Discriminant is zero, there is 1 real answer. If the Discriminant is negative, there are 2 complex answers. complex answer have i.

  10. The Discriminant

  11. The Discriminant This proves that the discriminant is only useful when a, b and c are INTEGERS!!!

  12. Solve using the Quadratic formula

  13. Solve using the Quadratic formula

  14. Solve using the Quadratic formula

  15. Solve using the Quadratic formula

  16. Solve using the Quadratic formula

  17. Solve using the Quadratic formula

  18. Solve using the Quadratic formula

  19. Solve using the Quadratic formula

  20. Solve using the Quadratic formula

  21. Solve using the Quadratic formula

  22. Solve using the Quadratic formula

  23. Describe the roots Tell me the Discriminant and the type of roots

  24. Describe the roots Tell me the Discriminant and the type of roots 0, One rational root

  25. Describe the roots Tell me the Discriminant and the type of roots 0, One rational root

  26. Describe the roots Tell me the Discriminant and the type of roots 0, One rational root -11, Two complex roots

  27. Describe the roots Tell me the Discriminant and the type of roots 0, One rational root -11, Two complex roots

  28. Describe the roots Tell me the Discriminant and the type of roots 0, One rational root -11, Two complex roots 80, Two irrational roots

  29. Homework 1.4 #72-82 even and 83-91 all

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