1 / 16

13.3 Completing the Square

13.3 Completing the Square. Objective: To complete a square for a quadratic equation and solve by completing the square. Steps to complete the square. 1.) You will get an expression that looks like this: AX ²+ BX 2.) Our goal is to make a square such that we have (a + b)² = a² +2ab + b²

hamish-bryan
Download Presentation

13.3 Completing the Square

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. 13.3 Completing the Square • Objective: To complete a square for a quadratic equation and solve by completing the square

  2. Steps to complete the square • 1.) You will get an expression that looks like this: AX²+ BX • 2.) Our goal is to make a square such that we have (a + b)² = a² +2ab + b² • 3.) We take ½ of the X coefficient (Divide the number in front of the X by 2) • 4.) Then square that number

  3. To Complete the Squarex2 + 6x 3 9 • Take half of the coefficient of ‘x’ • Square it and add it x2 + 6x + 9 = (x + 3)2

  4. Complete the square, and show what the perfect square is:

  5. To solve by completing the square • If a quadratic equation does not factor we can solve it by two different methods • 1.) Completing the Square (today’s lesson) • 2.) Quadratic Formula (Monday’s lesson)

  6. Steps to solve by completing the square 1.) If the quadratic does not factor, move the constant to the other side of the equation Ex: x²-4x -7 =0 x²-4x=7 2.) Work with the x²+ x side of the equation and complete the square by taking ½ of the coefficient of x and squaring Ex. x² -4x 4/2= 2²=4 3.) Add the number you got to complete the square to both sides of the equation Ex: x² -4x +4 = 7 +4 4.)Simplify your trinomial square Ex: (x-2)² =11 5.)Take the square root of both sides of the equation Ex: x-2 =±√11 6.) solve for x Ex: x=2±√11

  7. +9 +9 Solve by Completing the Square

  8. +121 +121 Solve by Completing the Square

  9. +1 +1 Solve by Completing the Square

  10. +25 +25 Solve by Completing the Square

  11. +16 +16 Solve by Completing the Square

  12. +9 +9 Solve by Completing the Square

  13. The coefficient of x2 must be “1”

  14. The coefficient of x2 must be “1”

  15. AssignmentPage 588(2-32) even

More Related