1 / 27

Surds and Quadratics

Surds and Quadratics. AS 91577. Surds. Adding Subtracting Multiplying Dividing. Adding and subtracting surds. Multiplying Surds Example 1:. Multiplying Surds Example 2:. Dividing surds (Rationalising) Example 1. Multiply top and bottom by. Dividing surds (Rationalising) Example 2.

larrykey
Download Presentation

Surds and Quadratics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Surds and Quadratics AS 91577

  2. Surds • Adding • Subtracting • Multiplying • Dividing

  3. Adding and subtracting surds

  4. Multiplying SurdsExample 1:

  5. Multiplying SurdsExample 2:

  6. Dividing surds(Rationalising)Example 1 Multiply top and bottom by

  7. Dividing surds(Rationalising)Example 2 Multiply top and bottom by

  8. Recognising terms

  9. Worksheet 1

  10. Quadratics General formula:

  11. Example 1. Solving for the roots (i.e. y = 0) Method 1: Factorising

  12. Method 2: Quadratic Formula

  13. Method 3: Graphics Calculator • Equation Mode • F2: Polynomial • Degree: 2 (F1) • Enter 1, -2, -3 • Solve (F1)

  14. Equation has 2 real solutionsx = 3, -1

  15. Example 2 Method 1: Factorize

  16. Method 2: Quadratic Formula

  17. Equation has two equal solutions:x = 3

  18. Example 3 Equation cannot be factorised.

  19. Using quadratic formula We use the substitution A complex number

  20. Equation has 2 complex solutions Real part Imaginary Part

  21. Note: Because the coefficients are real, solutions come in conjugate pairs i.e.

  22. Equation has 2 imaginary solutions.

  23. Forming quadratic equations from 2 solutions. If solutions are

  24. Example 1 Quadratic equation is

  25. Example 2 Quadratic equation is

  26. Example 3

  27. Worksheet 2

More Related