Solving Quadratic Equations

Factored Form

100

Solve using the zero product property:

(x + 7)(x - 7) = 0

x = -7 and x = 7

200

Solve using the zero product property:

(4x + 5)(x - 8) = 0

x = -5/4 and x = 8

300

Solve using the zero product property:

(5x - 1)(2x + 5) = 0

x = 1/5 and x = -5/2

400

Solve using the zero product property:

2x(x - 7) = 0

x = 0 and x = 7

500

Solve using the zero product property:

(5x - 1/2)(1/3x + 1) = 0

x = 1/10 and x = -3

Standard Form

100

Solve by factoring:

x² + 6x + 8 = 0

x = -4 and x = -2

200

Solve by factoring.

x² - x - 12 = 0

x = 4 and x = -3

300

Solve by factoring.

x² - 36 = 0

x = 6 and x = -6

400

Solve by factoring.

x² + 4x = 12

x = -6 and x = 2

500

Solve by factoring.

x² - 4x - 3 = 9

x = 6 and x = -2

Square Roots

100

Solve using square roots:

x² = 81

x = -9 and x = 9

200

Solve using square roots:

x² - 67 = -3

x = -8 and x = 8

300

Solve using square roots:

5x² - 45 = 0

x = -3 and x = 3

400

Solve using square roots:

(x - 4)² = 81

x = -5 and x = 13

500

Solve using square roots:

3(x - 2)² = 27

x = -1 and x = 5