Solving Quadratics

Factoring

100

Solve by factoring

x² - 13x + 30 = 0

x = 3, 10

200

Solve by factoring

x² - 4x = -3

x = 1, 3

300

Solve by factoring

3x² - 48 = 0

x = -4, 4

400

Solve by factoring

10x² = -6x

x = -3/5 ,  0

500

Solve by factoring

7x² - 5x = x² + 4

x = -1/2, 4/3

Square Root

100

Solve by taking the square root

x² - 25 = 0

x = -5, 5

200

Solve by taking the square root

3x² - 48 = 0

x = -4, 4

300

Solve by taking the square root

7x² - 1 = 20

x = -rad3, +rad3

400

Solve by taking the square root

16x² + 4 = 8

x = -1/2, 1/2

500

Solve by taking the square root

2x² - 7 = 83

x = -3rad5, 3rad5

Choose your own adventure

100

Solve using any method

x² + 6x + 8 = 0

x = -2, -4

200

Solve using the any method

2x² + 8x - 120 = 0

x = -10, 6

300

Solve using any method

4x² - 16x = 0

x = 0, 4

400

Solve using any method

4x² - 16 = 0

x = -2, 2

500

Solve using any method

2/3x^2-16=32

x = 

+-6rad2

Completing the Square

100

Solve by completing the square

x² + 14x + 45 = 0

x = -5, -9

200

Solve by taking the completing the square

x² - 8x - 63 = 21

x = -6, 14

300

Solve by taking the completing the square

x² + 8x - 9 = -16

x = -7, -1

400

Solve by taking the completing the square

x² + 10x + 30 = -3

No solution

500

Solve by taking the completing the square

x² - 22 = -3 + 4x

x = -3, 7

Quadratic Formula

100

Solve using the quadratic formula

x² + 9x + 14 = 0

x = -7, -2

200

Solve using the quadratic formula

3x² - x - 4 = 0

x = -1, 4/3

300

Solve using the quadratic formula

8x² = -14x -3

x = -3/2, -1/4

400

Solve using the quadratic formula

-x² + 6x = 2

3 + rad7

3 - rad7

500

Solve using the quadratic formula

8x² - 3 = 8x + 10

(2 +-rad30)/4