Solving Quadratic Equations

Factoring

100

Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

200

Solve the following quadratic equation by factoring. 

x^2+3x+2=0

x = -2, x = -1

300

x^2-6x+5=0

x = 5, x = 1

400

x^2-6x-27=0

x = 9, x = -3

500

2x^2-5x-3=0

x = -1/2, x = 3

Square Roots

100

Solve the following quadratic equation by using square roots:

x^2=4

x = 2, x = -2

200

2x^2=200

x = 10, x = -10

300

x^2-8=41

x = 7, x = -7

400

x^2/4=9

x = 6, x = -6

500

5x^2+3=128

x = 5, x = -5

Completing the Square

100

What should be added to both sides to complete the square for

x^2-6x=-12

9

200

x^2-6x=-5

x = 1, x = 5

300

x^2-2x-24=0

x = -4, x = 6

400

x^2+10x+16=0

x = -2, x = -8

500

2x^2=8x-6

x = 1, x = 3

Quadratic Formula

100

What are the a, b, and c values for the equation

3x^2=-4x+2

a = 3, b = 4, c = -2

200

x^2+6x+5=0

x = -1, x = -5

300

x^2-9x+20=0

x = 5, x = 4

400

2x^2+9x+4=0

x = -1/2, x = -4

500

4x^2-17x-15=0

x = 5, x = -3/4

Graphing

100

Use your graphing calculator (Table Function or Zero Function) to find the zeros for the following quadratic equation: 

x^2-4x+4=0

x = 2

200

Use your graphing calculator (Table Function or Zero Function) to find the zeros for the following quadratic equation: 

x^2+x=6

x = -3, x = 2

300

Use your graphing calculator (Table Function or Zero Function) to find the zeros for the following quadratic equation: 

x^2-2n-3=0

x = 3, x = -1

400

Use your graphing calculator (Table Function or Zero Function) to find the zeros for the following quadratic equation: 

x^2-10x+26=8

x = 2.35, x = 7.65

500

Use your graphing calculator (Table Function or Zero Function) to find the zeros for the following quadratic equation: 

3+x^2=3x^2-x

x = 1.5, x = -1