Solving Quadratics

Factoring a = 1 or a does not equal 1

100

Factor 

x² -12x+20

(x-2)(x-10)

200

Factor 

x² +7x +12

(x+3)(x+4)

300

Factor 

x² - 11x +24

(x-3)(x-8)

400

Factor 

5x² +26x +5

(5x+1)(x+5)

500

Factor 

3x² + 11x +10

(3x+5)(x+2)

Simplify

100

Simplify 

Square root of 8 

2 square root of 2 

200

Simplify 

Square root of 72

6 square root of 2

300

Simplify 

(-6-4i) - (8 +4i)

-14 - 8i

400

Simplify 

(9 + 6i) + (5 + i)

14 + 7i

500

Simplify 

(4 + 4i)(1 - 2i)

12 - 4i

Solving by taking square root

100

Solve for x 

14 - 3x² = 8

plus minus square root of 2

200

Solve for x 

6 + 3x² = 18

x = 2, x = -2 

300

Solve for x 

3(x+5)² - 13 = -1 

x = -3, x = -7

400

Solve for x 

2(x-7)² - 31 = 1

x = 11, x = 3

500

Solve for x 

4(x+2)² - 46 = -18

x = -2 plus square root of 7 

x = -2 minus square root of 7

Complete the square

100

Solve the equation by completing the square 

x² - 9 = -8x

x = 1, x = -9

200

Solve by completing the square 

x² + 6x = -5

x = -5 

x= -1

300

Solve by completing the square 

x² + 2x - 48 = 0

x = -8 and x = 6

400

Solve by completing the square 

x² - 35 = 2x

x = -5 and x = 7

500

Solve by completing the square 

x² - 6x - 40 = 0 

x = -4 

x = 10

Discriminant/ Quadratic Formula/ Real World

100

Find the discriminant 

9x² + x + 7 = 0 

-251

200

Use the quadratic formula to solve. 

5r² +24r - 3 = 2

r = 1/5

r = -5 

300

Solve by using the quadratic formula 

9k² + 30k + 25 = 0 

k = -5/3

400

The width of a rectangle is 3 units less than the length. The area of the rectangle is 18 square units. What is the width of the rectangle? 

3

500

The width of a rectangle is 1 units less than the length. The area of the rectangle is 56 square units. What is the length of the rectangle? 

8