Solving Quadratics

Solve Using Quadratic Formula

100

x² - 5x + 4 = 0

1, 4

200

2x² - 7x + 3 =0

1/2,3

300

x² - 6x - 7 = 0

-1, 7

400

x² = -14x - 40

-4, -10

500

x² + 6x + 9 = 0

-3

Solve Using Factoring

100

x² + 2x - 8 = 0

-4, 2

200

2x² + 18x = 0

x=0, -9

300

x² - 8x + 16 = 0

4

400

2x² + 5x - 3 = 0

-3, 1/2

500

-x² = 4x + 4

-2

Solve Using Square Roots

100

x² = 225

15, -15

200

36 = x²

6, -6

300

(x -3)² = 64

11, -5

400

3x² - 75 = 0

5, -5

500

49x² + 64 = 0

No Solutions

Solving Using Zero Product Property

100

(x - 7)(x + 2) = 0

7, -2

200

(x + 2)(x - 8) = 0

-2, 8

300

(x+7)(x+9)=0

-7, -9

400

(3x + 2)(4x -1) =0

-2/3, 1/4

500

x(x+11)=0

0,-11

Discriminant

100

How many solutions:

2x² - 11x + 6 = 0

TWO

200

How many solutions:

2x² + 4x + 3 =0

ZERO

300

How many solutions:

x² +4x +4 = 0

ONE

400

How many solutions:

8x = 1 - x²

TWO

500

5x² +3x = -4

ZERO