1 / 10

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=-(9x-4 ) -6(2x+1)-3(x-4)=-15+1. Using the Zero-Factor Property. A quadratic equation written in standard form is

alice-rivas
Download Presentation

OLGT: Solving 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. 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=-(9x-4) -6(2x+1)-3(x-4)=-15+1

  2. 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

  3. Zero-Factor Property • Solve 6x2+7x=3 • First put in standard form • 6x2+7x-3=0 • Then factor • (3x-1)(2x-3)=0

  4. 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

  5. Using the Square Root Property • Solve the quadratic equations 1. x2=17 2. (x-4)2=12 X= x-4 = x=4 x= x=4

  6. 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

  7. Square Root Property • (x-7)2=24 • X-7 = • X =7 • X=7 • 7

  8. Try these • 1 • (x+4) (x-2) = 0 • X = -4 or x = 2 • ( 2x + 5) (x-3) = 0 • 2x+5 = 0 x-3=0 • X= -5/2 x= 3 • x2+ 2x -8 = 0 • 2x2- x -15 = 0

  9. 1. X2 = 25 • X = • X = 5 • 2. ( 3x-1) 2 =12 • 3x – 1 = • 3x = 1 • x = 1 • 3

  10. Homework • Page 441 # 33-44

More Related