Olgt solving quadratic equations
Download
1 / 8

OLGT: Solving Quadratic Equations - PowerPoint PPT Presentation


  • 80 Views
  • Uploaded on

OLGT: Solving Quadratic Equations. Do Now Solve each equation. Decide whether each equation is an identity, a conditional or a contradiction. 5(x+3) + 4x-5=-(2x-4) -6(2x+1)-3(x-4)=-15+1. Using the Zero-Factor Property. A quadratic equation written in standard form is

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'OLGT: Solving Quadratic Equations' - nerina


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Olgt solving quadratic equations

OLGT: Solving Quadratic Equations

Do Now

Solve each equation. Decide whether each equation is an identity, a conditional or a contradiction.

5(x+3) + 4x-5=-(2x-4)

-6(2x+1)-3(x-4)=-15+1


Using the zero factor property
Using the Zero-Factor Property

  • A quadratic equation written in standard form is

  • Ax2+bx+c = 0, where a, b, c are real numbers and a can not equal zero.

  • You can solve them by using one of the three methods

    • Zero-factor Property

    • Square Root Property

    • Quadratic Formula


Zero factor property
Zero-Factor Property

  • Solve 6x2+7x=3

  • First put in standard form

  • 6x2+7x-3=0

  • Then factor

  • (3x-1)(2x-3)=0


Zero factor property1
Zero-Factor Property

  • Apply the zero-factor property

  • 3x-1=0 or 2x+3=0

  • 3x=1 2x=-3

  • X=1/3 x=-3/2

  • Check

  • 6(1/3)2+7(1/3)=3 and

  • 6(-3/2)2+7(-3/2)=3


Using the square root property
Using the Square Root Property

  • Solve the quadratic equations

    x2=17 2. (x-4)2=12

    X= x-4 =

    x=4 x= x=4


Solve by the zero property
Solve by the zero-property

  • -6x2+7x =10

  • -6x2+7x -10 = 0

  • -1(6x2-7x +10)=0

  • -1(6x+5)(x-2) =0

  • 6x-5=0 or x-2 =0

  • 6x=5

  • X=5/6 or x=2


Square root property
Square Root Property

  • (x-7)2=24

  • X-7 =

  • X =7

  • X=7

  • 7


Homework
Homework

  • Page 441 # 33-44