Download presentation

Presentation is loading. Please wait.

1
**(touches x-axis twice) (does not touch x-axis)**

Section 10-5 Factor to Solve Quadratic Equations SPI 23E: Find the solution to a quadratic equation given in standard form SPI 23F: select the solution to a quadratic equation given solutions represented in graphical form Objectives: Solve (find real number solutions) by factoring The solutions of a quadratic equation are: the x-intercepts since they are on the real number line a quadratic equation can have solutions as follows: Two Solutions (touches x-axis twice) One Solutions (touches x-axis once) No Solution (does not touch x-axis)

2
**Methods of Finding Real Number Solutions**

Two Methods for Solving Quadratic Equations: ax + by = c Factoring and using the Zero-Product Property Using the Quadratic Formula

3
**Zero-Product Property**

Factor x2 + 7x + 10 = 0 Factors of 10 Sum of Factors 1 ∙ 10 11 2 ∙ 5 7 Both conditions must be true Factors of the problem are (x + 2)(x + 5) To find the real number solutions, use the Zero-Product Property Solve (x + 2)(x + 5) = 0 x + 2 = or x + 5 = 0 x + 2 – 2 = 0 – or x + 5 – 5 = 0 – 5 x = or x = - 5 There are two real number solutions to the quadratic equation.

4
**Factor to Solve a Quadratic Equation**

Try It! Factor to Solve a Quadratic Equation Solve x2 + x – 42 = 0 by factoring. Factors of - 42 Sum of Factors 2 ∙ -21 -19 -6 ∙ 7 = 1 Both conditions must be true Factors of the problem are (x + 7)(x -6) (x + 7)(x – 6) = 0 Factor using x2 + x – 42 x + 7 = 0 or x – 6 = 0 Use the Zero-Product Property. x = –7 or x = 6 Solve for x.

5
Practice 1. Use the zero property to solve (x – 3) (x – 7) = 0. 3 and 7 2. Use the zero property to solve – 3n(2n – 5) = 0. 0 and 2.5 3. Solve by factoring x2 – 16 x + 55 = 0. 5 and 11 4. Solve by factoring m2 – 5m – 14 = 0. -2 and 7

Similar presentations

Presentation is loading. Please wait....

OK

More about Quadratic Equations November 16, 2009.

More about Quadratic Equations November 16, 2009.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

360 degree customer view ppt online Download ppt on festivals of france Ppt on conceptual art images Ppt on feedback amplifier Ppt on point contact diode construction Ppt on global warming and its effects Ppt on condition monitoring maintenance Ppt on project financing in india Ppt on cloud computing in healthcare Ppt on rocks soil and minerals