Presentation is loading. Please wait.

Presentation is loading. Please wait.

Section 8.1 Quadratic Equations  The Graphical Connection  The Principle of Square Roots  Completing the Square  Solving Equations by Completing the.

Similar presentations


Presentation on theme: "Section 8.1 Quadratic Equations  The Graphical Connection  The Principle of Square Roots  Completing the Square  Solving Equations by Completing the."— Presentation transcript:

1 Section 8.1 Quadratic Equations  The Graphical Connection  The Principle of Square Roots  Completing the Square  Solving Equations by Completing the Square  Problem Solving 8.11

2 Review of Quadratic Equations In Chapter 5, we solved these types of equations by factoring the non-zero side. When the expression is unfactorable, we need an alternate way to find solutions. 8.12

3 Quadratic Functions & Graphs  In Chapter 2, we examined f(x) = ax 2 + bx + c a ≠ 0 8.13

4 The Principle of Square Roots Solve by factoring x 2 – 16 = 0 Then by the square root property 8.14

5 Solve Using the Square Root Property 8.15

6 General Form of the Principle of Square Roots - Let X be any Expression 8.16

7 What do you notice about the left expression? IIt’s a perfect square trinomial: 8.17

8 Completing the Square - A technique used to find solutions to quadratic equations Recall the patterns for factoring “perfect square trinomials: Add a number to x 2 + 6x to make it a perfect square. 8.18

9 Using the Perfect Square Technique in an Equation 8.19

10 Solving by Completing the Square 8.110

11 Examples - board  Solve by factoring  Use square root property  Use completing the square 8.111

12 Application – Compound Interest 8.112

13 What Next? The Quadratic Formula  Present Section 8.2 Present Section 8.2 8.113


Download ppt "Section 8.1 Quadratic Equations  The Graphical Connection  The Principle of Square Roots  Completing the Square  Solving Equations by Completing the."

Similar presentations


Ads by Google