1 / 10

Unlocking the Power of the Discriminant in Quadratic Equations

Learn how to determine the number of solutions in quadratic equations using the discriminant, without graphing. Practice with examples and understand its significance. Homework included.

noel-richmond
Download Presentation

Unlocking the Power of the Discriminant in Quadratic Equations

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. 9.8 Using the Discriminant Objective: SWBAT use the quadratic formula to determine if the graph of a quadratic function will intersect the x-axis in zero, one, or two points.

  2. Mini Quiz 29 1. Solve 2x2 – 3x – 2 = 0 2. Graph y = -x2 – 2x + 1

  3. Quick Review 1. What is the Vertex and Axis of Symmetryformula? 2. What is the Quadratic Formula?

  4. Overview Methods in Solving Quadratic Equations: Graphing Square Roots Factoring ( )( ) = 0 Completing the Square ( )2 Quadratic Formula Discriminant b2 - 4ac

  5. Discrimin… Discriminate – to note or observe a difference (according to www.dictionary.com ) Discriminant - a relatively simple expression that determines ... the nature of the roots, of a given equation or function (according to www.dictionary.com) Tells you the different number of times the graph crosses the x-axis (according to Ms. Ly in “plain Math English”) ???

  6. How many solutions?

  7. The Amazing Discriminant! How can you tell the numbers of solutions (roots, x-intercepts) without graphing the quadratic function? Use the Discriminant!!!

  8. How does it work? (negative)…no solution (zero)…1 solution (positive)…2 solutions

  9. Practicing with the Discriminant Find the number of solution(s) the quadratic function/equation has. 1. 0 = x2 + x + 1 2. y = x2 + 2x – 2 3. y = 2x2 + 4x + 4. -3x2 + 5x – 1 = 0 5. 23x2 – 2x = -5 Discriminant: b2 – 4ac Zero Two One Two Zero

  10. Wrap Up Discriminant • Discriminant b2 - 4ac • Tell you the number of solutions • –  0 • 0  1 • +  2 HW: P. 472 #1-9 all, 55-67 odd DLUQ: What does the discriminant tell you?

More Related