1 / 9

Thinking Mathematically

Thinking Mathematically. Algebra: Equations and Inequalities 6.6 Solving Quadratic Equations. Definition of a Quadratic Equation. A quadratic equation in x is an equation that can be written in the general form ax 2 + bx + c = 0, where a, b, and c are real numbers, with a ≠0 .

nieve
Download Presentation

Thinking Mathematically

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. Thinking Mathematically Algebra: Equations and Inequalities 6.6 Solving Quadratic Equations

  2. Definition of a Quadratic Equation A quadratic equation in x is an equation that can be written in the general form ax2 + bx + c = 0, where a, b, and c are real numbers, with a≠0. Linear vs. quadratic

  3. Using the FOIL Method to Multiply Binomials (ax + b)(cx +d) = ax•cx + ax•d + b•cx + b•d = acx2 + (ad + dc)x + bd F: First terms (x2 term) O: Outside terms (x term) I: Inside terms (x term) L: Last terms (constant term) An application of the Distributive Property

  4. Example: Multiplying Binomials Exercise Set 6.6 #3 (x - 5)(x + 3)

  5. Factoring a Trinomial • The inverse of FOIL • Exercise Set 6.6 #11, #13, #17, #21 • x2 -2x - 15 • x2 – 8x + 15 • x2 – 8x + 32 • 2x2 + 7x + 3

  6. The Zero-Product Principle If the product of two factors is zero, then one (or both) of the factors must have a value of zero. If A•B = 0, then A = 0 or B = 0. Solution set contains two answers.

  7. Solving a Quadratic Equation Using the Zero-Product Principle • Exercise Set 6.6 #33 • (x – 8)(x + 3) = 0

  8. Using Factoring to Solve a Quadratic Equation • Exercise Set 6.6 #37, 41 • x2 + 8x + 15 = 0 • x2 – 4x = 21

  9. Thinking Mathematically Algebra: Equations and Inequalities 6.6 Solving Quadratic Equations

More Related