olgt solving quadratic equations
Download
Skip this Video
Download Presentation
OLGT: Solving Quadratic Equations

Loading in 2 Seconds...

play fullscreen
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
ad