which method is the best to solve a quadratic equation? factoring? graphing? quadratic formula?

Which method is the best to solve a quadratic equation?

Factoring? Graphing? Quadratic Formula?

In this lesson you will learn how to determine the best

method to solve a quadratic equation by comparing

different strategies.

Let’s Review

What methods have you learned?

GraphingInspection

Taking a Square RootFactoring

Completing the SquareQuadratic Formula

A Common Mistake

Thinking the approach you take will impact your solutions

Core Lesson

There are pros and cons to any approach

GraphingInspection

Taking a Square RootFactoring

Completing the SquareQuadratic Formula

Not everything factors “nicely”

Only applies when there is no x term

Irrational solutions hard to determine

Core Lesson Which method would you use to solve this quadratic

equation?

GraphingInspection

Taking a Square RootFactoring

Completing the SquareQuadratic Formula

x2+3x =10x2+3x-10 =0(x-2)(x+5) =0x=-5 x=2

Core Lesson Which method would you use to solve this quadratic

equation?

GraphingInspection

Taking a Square RootFactoring

Completing the SquareQuadratic Formula

3x2-6x -7=03(x2-2x) =73(x2-2x+1) =7+33(x-1)2 =10(x-1)2 = 10/3

x =1+ 10/3 x= 1- 1/3

Core Lesson Which method would you use to solve this quadratic

equation?

GraphingInspection

Taking a Square RootFactoring

Completing the SquareQuadratic Formula

x2 = 8

x = 8 x=- 8

Core Lesson Which method would you use to solve this quadratic

equation?

GraphingInspection

Taking a Square RootFactoring

Completing the SquareQuadratic Formula

2(x+2)2+12 =562(x+2)2=44

(x+2)2= 22(x+2)= 22

x= -2+ 22 x= -2- 22

In this lesson you have learned to determine the best method to solve a quadratic equation

by comparing strategies.

Guided Practice

Which method would you use to solve this quadratic equation and why?

Quick Quiz

Would factoring be a good method to solve this quadratic equation? Why or why not?

When is graphing a good method to use to solve a quadratic?

6x2+3x=0

Quick QuizExtension Activities

Make your own pros and cons chart for each of the

methods.

Quick QuizExtension Activities

Can you make a flow chart to help you to decide when to

use which method?