Unit 3 Review (Solving Quadratics With & Without Imaginary Solutions)

Square Roots

100

Solve: 

5x² - 15 = 70

+ or - sqrt(17)

200

Solve: 

-2x² + 16 = -20

+ or - 3sqrt(2)

300

Solve: 

-3x² - 5 = 4

+ or - sqrt(3)i

400

Solve: 

4x² + 7 = -73

+ or - 2sqrt(5)i

500

Solve: 

x² + 4 = 2x² + 9

+ or - sqrt(5)i

Factoring

100

Solve: 

x² + 2x - 24 = 0

-6 and 4

200

Solve: 

2x² - 12x + 18 = 0 

3

300

Solve: 

5x² + 15x = 0

0 and -3

400

Solve: 

2x² - 5x - 3 = 0 

3 and -1/2

500

Solve: 

3x² - 25 = 10x

5 and -5/3

Completing the Square

100

Solve: 

x² - 6x + 5 = 0 

5 and 1

200

Solve: 

x² + 10x - 21 = 0 

-5 + or - sqrt(46)

300

Solve: 

-4x²+ 8x = -16

1 + or - sqrt(5)

400

Solve: 

x² + 4x + 7 = 0 

-2 + or - sqrt(3)i

500

Solve: 

-2x² - 12x = 34

-3 + or - 2sqrt(2)i

Quadratic Formula

100

Solve: 

2x²+ 3x + 1 = 0 

-1 and -1/2

200

Solve: 

x² - 5x = -3

(5 + or - sqrt(13))/2

300

Solve: 

x² + 4x + 5 = 0 

-2 + or - i

400

Solve: 

3x² - 10x + 5 = 0 

(5 + or - sqrt(10))/3

500

Solve: 

2x² + x = -6

(-1 + or - sqrt(47)i)/4

Computations With Imaginary Numbers

100

Simplify: 

(3 + 5i) + (-7 - 8i)

-4 - 3i

200

Simplify: 

(-2 + i) - (4 - 7i)

-6 + 8i

300

Simplify: 

-3i(6 - 10i)

-30 - 18i

400

Simplify: 

(5 + 2i)(3 - i)

17 + i 

500

Simplify: 

-3 - (2 + i)(3 - i)

-10 - i