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

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

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

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

Solve Using the Square Root Property 8.15

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

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

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

Using the Perfect Square Technique in an Equation 8.19

Solving by Completing the Square 8.110

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

Application – Compound Interest 8.112

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