Solving Quadratic Equations

Factoring

100

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

x = -2 x = -1

200

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

x = -1/2 x = 3

300

Solve the following quadratic equation by factoring. 3x² - 7 = 7x - 1

x = -2/3, x = 3

400

Solve the following quadratic equation by factoring. x² - 8x - 6 = -6

x = 0 x = 8

500

Solve the following quadratic equation by using factoring: x² - 4x - 144 = -4x

x= +-12

Square Roots

100

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

+11 or -11

200

Solve the following quadratic equation by using square roots: x² -9 = -8

1 or -1

300

Solve the following quadratic equation by using square roots: 34 = x² - 40

x= +- sqrt(74)

400

Solve the following quadratic equation by using square roots: 5x² = -85

NO SOLUTION

500

Solve the following quadratic equation by using square roots: 9a² - 8 =784

+- 2sqrt(22)

Completing the Square

100

Solve the following quadratic equation by completing the square: x² + 6x = -8

x = -2 x = -4

200

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

x = -4 x = 6

300

Solve the following quadratic equation by completing the square: x² + 4x - 3 = 0

-2 +- sqrt(7)

400

Solve the following quadratic equation by completing the square: x² - 20x = -20

10 +- 4sqrt(5)

500

Solve the following quadratic equation by completing the square (Hint = Make A = 1 first): -2x² - 32x - 112 = 0

-8 +- 2sqrt(2)

Quadratic Formula

100

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

x = -1 x = -5

200

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

x = -1/2 x = -4

300

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

x = -1

400

Solve the following quadratic equation by using the quadratic formula: 3x² - 7 =5x

(5 +- sqrt(109) ) / 6

500

Solve the following quadratic equation by using the quadratic formula: x² + 6x + 13 = 12

x = -3 +- 2sqrt(2)