Solving Quadratic Equations

Straight-Up Factoring

100

x² -6x =18

{3,6)

200

x² - 8 = 7x

{-1,8}

300

x² - 8x + 16 = 0

{4}

400

x² - 10x + 49 = 4x + 1

{6,8}

500

x² - 5x - 64 = 7x

{-4,16}

GCF

100

4n² - 96 = 8n

{-4,6}

200

3x² + 15x = 0

{0,-5}

300

6x² = 21x

{0, 7/2}

400

4x²  = 28x

{0,7}

500

11x² = x² + 8x

{4/5, 2}

The Great Unknown

100

8x² = 32

{-2, 2}

200

x² + 11x + 28 = 0

{-7, -4}

300

4x² -2x + 1 = 2x

{1/2}

400

(1/3)x² + 2 = 14

{-6, 6}

500

(2/3)x² - 7 = 47

{-9, 9}

Square Root Method

100

x² - 25 = 0

{-5,5}

200

9x² - 16 = 0

{4/3, -4/3}

300

4x² - 81 = 0

{-9/2, 9/2}

400

49x² + 16 = 8

No Solution

500

9x² - 49 = 0

{-7/3, 7/3}

Slip 'n Slide

100

3x² + 9x - 12 = 0

{-4,1}

200

5x² - 20x - 60 = 0

{-2,6}

300

2x² + 13x -7 = 0

{-7, 1/2}

400

 8x² + 3 = 10x

{1/2, 3/4}

500

12x² + 32x = -5

{-5/2, -1/6}