Solving Quadratic Equations

Factoring

100

Solve for x: 

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

x = 7 or -2

200

Factor the following:

 x² + 3x + 2 

(x+2)(x+1)

300

Solve for x:

 x² - 6x + 5 = 0

x = 5 or 1

400

Factor:

3x² + 16x + 5 

(3x + 1)(x + 5)

500

Solve for x:

 2x² - 5x - 3 = 0

x = -1/2 or 3

Square Root Method

100

Solve for x:

 x² = 4

x = 2 or -2

200

Solve for x:

x² = 12

x = 2sqrt(3) or -2sqrt(3)

300

Solve for x:

4(x-1)² = 400

x = 11 or -9

400

Solve for x: 

(x + 10)² -9 = -8

x = -9 or -11

500

Solve for x: 

5(x+2)² + 3 = 103

x = -2 +- 2sqrt(5)

Completing the Square Quadratic Formula

100

Solve by completing the square: 

x² + 6x = -8

x = -2 or -4

200

Solve by completing the square:

x² - 2x - 24 = 0

x = -4 or 6

300

Solve by completing the square: 

x² + 10x + 1 = 0

x = -5 +-  2sqrt(6)

400

Solve using the quadratic formula: 

2x² + 9x + 4 = 0

x = -1/2 or -4

500

Solve using the quadratic formula: 

x² - 9x + 20 = 0

x = 5 or 4

Find The Vertex

100

Find the vertex 

y= 5(x-8)²

(8,0)

200

Find the vertex:

 f(x) = x² + 2x + 2

(-1,1)

300

Find the vertex of 

f(x) = -x² + 8x - 15

(4,1)

400

Find the vertex: 

f(x)=(x-4)(x+8)

(-2,-36)

500

Find the vertex:

f(x) = -2(x-1)(x+5)

(-2,18)