Which method is the best to solve a quadratic equation? Factoring? Graphing? Quadratic Formula?

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Presentation transcript:

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? Graphing Inspection Taking a Square Root Factoring Completing the Square Quadratic Formula

A Common Mistake Thinking the approach you take will impact your solutions

Core Lesson There are pros and cons to any approach Graphing Inspection Taking a Square Root Factoring Completing the Square Quadratic 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? Graphing Inspection Taking a Square Root Factoring Completing the Square Quadratic Formula x 2 +3x =10 x 2 +3x-10 =0 (x-2)(x+5) =0 x=-5 x=2

Core Lesson Which method would you use to solve this quadratic equation? Graphing Inspection Taking a Square Root Factoring Completing the Square Quadratic Formula 3x 2 -6x -7=0 3(x 2 -2x) =7 3(x 2 -2x+1) =7+3 3(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? Graphing Inspection Taking a Square Root Factoring Completing the Square Quadratic Formula x 2 = 8 x = 8 x=- 8

Core Lesson Which method would you use to solve this quadratic equation? Graphing Inspection Taking a Square Root Factoring Completing the Square Quadratic Formula 2(x+2) =56 2(x+2) 2 =44 (x+2) 2 = 22 (x+2)= 22 x= x=

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? 6x 2 +3x=0

Extension Activities Make your own pros and cons chart for each of the methods.

Quick Quiz Extension Activities Can you make a flow chart to help you to decide when to use which method?