4A Review - Solve Quadratic Equations by 3 methods

Solve by Factoring:

 $b^2-2b-8=0$  

• x = -2

  x = 4

• x = -8

• x = 8

  x = -8

• No real solution

Solve by Factoring:

 $x^2+4x-32=0$  

• x = -8

  x = 4

• x = 8

  x = -4

• x = -8

  x = -4

• No Solution

Solve by Factoring:

 $x^2=18x-81$  

• x = -9

  x = -9

• x = 9

  x = 9

• x = -9

  x = 9

• No Solution

Solve by Factoring:

 $6x^2-x-2=0$  

•  $x=-\frac{2}{3}$  ,  $x=\frac{1}{2}$   

•  $x=\frac{2}{3}$  ,  $x=-\frac{1}{2}$   

•  $x=-\frac{2}{3}$  ,  $x=-\frac{1}{2}$  

• No Solution

What are the solutions of the equation being graphed?

• x = 0

  x = -4

• x = 0

  x = 4

• y = 0

• x = 2

What are the solutions of the equation being graphed?

• x = -1

  x = 5

• x = 3

  x = 4

• x = 1

  x = 5

• x = 2

  x = 4

What are the solutions of the equation being graphed?

• x = -3

  x = -1

• x = -2

  x = 0

• x = -4

  x = 2

• x = -1

  x = 4

If the graph of a quadratic equation does not intercept the x-axis at any point, then it has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• No Real Solutions

What is this?

 $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$  

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

What should you do first to solve this equation when using the quadratic formula?

x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.