Download - 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?