Solving Quadratics

Solve by Factoring

100

x² - 3x = 28

x = 7, -4

200

6x² = 12x

x = 0, 2

300

x² = 4x + 12

x = 6, -2

400

2x² + 10 = 9x

x = 2, 5/2

500

x³ + 2x² = 24x

x = 0, -6, 4

Quadratic Formula

100

8x² +1 = 9x

x = 1, 1/8

200

x² - 8 = -4x

x = 2 pm 2sqrt(3)

300

x² + 3x = 9

x = (-3 pm 3 sqrt(5))/2

400

3x² = 6x + 5

x = (3 pm 2sqrt(6))/3 

500

6x² = 1 - 10x

x = (-5 pm sqrt(31))/6

Isolating the Square

100

x² + 7 = 88

x = -9, 9

200

2x² +10 = 210

x = -10, 10

300

8x² - 4 = 532

x = pm sqrt67

400

2x² + 40 = 32

No Solution

500

4x² + 10 = 210

x = pm 5 sqrt(2)

Misc 1

100

x² + x = 30

x = -6, 5

200

5x³ = 80x

x = 0, 2, -2

300

8x³ + 22x² = 6x

x = 0, -3, 1/4

400

12x³ = 2x² + 30x

x = 0, -3/2, 5/3

500

2x² + 2x = 3

x = (-1 pm sqrt(7))/2

Misc 2

100

2x² - 6 = 48

x = pm 3 sqrt(3)

200

9x² = 16

x = -4/3, 4/3

300

2x² + 6 = 7x

x = 3/2, 2

400

20 + 3x² = 11

No Solution

500

6x³ - 16x = 20x²

x = 0, 2/3, -4