1 / 12

How do you solve a quadratic equation?

How do you solve a quadratic equation?. x 2 +8x =-7. In this lesson you will learn how to solve a quadratic equation by factoring. Zero Product Property. 4 * 0 = 0. -6 * 0 = 0. * 0 = 0. Factors. (2x)(4x) =8x 2. (2)(3) =6. (5y 2 )(2y) =10y 3.

shirin
Télécharger la présentation

How do you solve a quadratic equation?

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. How do you solve a quadratic equation? x2+8x=-7

  2. In this lesson you will learn how to solve a quadratic equation by factoring.

  3. Zero Product Property 4 * 0 = 0 -6 * 0 = 0 * 0 = 0

  4. Factors (2x)(4x) =8x2 (2)(3) =6 (5y2)(2y) =10y3

  5. Identify all of the factors to a quadratic expression. 3 (x+2) = 0 3x (x-3) = 0 (x-4)

  6. Forgetting to set the equation equal to zero. x2 + 11x + 30 = 0 x2 + 11x + 30 = 10 (x+5)(x+6)= 0 (x+5)(x+6)= 10

  7. Check: 2x2 =-4x 2x2+4x=-4x+4x 2(0)2 =-4(0) 2x2+4x=0 2(-2)2 =-4(-2) 2x(x+2)=0 2x=0 x+2=0 x=0,x=-2

  8. Check: 3x2+6x-105=0 3(5)2 +6(5)-105=0 3(x2+2x-35)=0 75+30-105=0 3(x+7)(x-5)=0 3(-7 )2+6(-7 )-105=0 x+7=0 x-5=0 147-42-105=0 3=0 x=-7 x=5

  9. In this lesson you have learned to solve a quadratic equation by factoring.

  10. Solve the following equation for x. x2+8x-9=0

  11. Can you use this idea to solve equations involving higher degree polynomials?

  12. Solve the following equation for x by factoring. 2x2+10x+12=0 Solve the following equation for x by factoring. x2+11x=-30

More Related