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.
x²+3x+2 = 0

x = -2 x = -1

300

Solve the following quadratic equation by factoring.
x² - 6x + 5 = 0

x = 5 x = 1

400

Solve the following quadratic equation by factoring.
x² - 6x - 27 = 0

x = 9 x = -3

500

Solve the following quadratic equation by factoring.
2x² - 5x - 3 = 0

x = -1/2 x = 3

Square Roots

100

Solve the following quadratic equation by using square roots:
x² = 4

x = 2 x = -2

200

Solve the following quadratic equation by using square roots:
x² = 121

+11 or -11

300

Solve the following quadratic equation by using square roots:
4x² = 400

x = 10 x = -10

400

Solve the following quadratic equation by using square roots:
(x+2)² -9 = -8

-3 or -1

500

Solve the following quadratic equation by using square roots:
5(x-1)² + 3 = 128

x = 6 x = -4

Completing the Square

100

Find the c-value that completes the square:
x² - 6x + c

c = 9

200

Solve the following quadratic equation by completing the square:
x² - 6x = -5

x = 1 x = 5

300

Solve the following quadratic equation by completing the square:
x² - 2x - 24 = 0

x = -4 x = 6

400

Solve the following quadratic equation by completing the square:
2x² - 8x = 10

x = 5 x = -1

500

Solve the following quadratic equation by completing the square:
4x² - 8x - 38 = 7

x = 9/2 x = -5/2

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

Solve the following quadratic equation by using the quadratic formula:
x² + 6x + 5 = 0

x = -1 x = -5

300

Solve the following quadratic equation by using the quadratic formula:
x² - 9x + 20 = 0

x = 5 x = 4

400

Solve the following quadratic equation by using the quadratic formula:
2x² + 9x + 4 = 0

x = -1/2 x = -4

500

Solve the following quadratic equation by using the quadratic formula:
4x² - 17x - 15 = 0

x = 5 x = -3/4