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Complex Numbers

100

(3 + i) - (2 + 6i)

(1 - 5i)

200

i⁴

1

300

square root -50

5i square root 2

400

-2i / (1+i)

-1 - i

500

(3 + 2i) / (1+i)²

1 - 3/2i

Complete the Square

100

what value completes the square for

x² - 13x + ____-

42.25

200

Solve: (start on step 5 of CTS)

x² - 4x + 4 = 100 

x = -8 

x = 12

300

Complete the square:

x² - 3x + ____

9/4

400

Solve:

x² - 2x = 5

1 + square root 6

1 - square root 6 

500

4x² + 10x - 3 = 0

-5 +- square root 37 over 4 

Quadratic Formula

100

How many real solutions (x intercepts) does this equation have? 

 3x² - 4x + 3 = 0 

None 

200

Solve

x² - 4x + 3 = 0

x = 1

x = 3

300

Solve: (be careful to define a, b, and c)

6x - 5 = -x²

- 3 plus and minus square root 14

400

Solve:

x(x - 5) = -4

x = 1

x = 4

500

Solve: 

x² + 5 = 4x

2 + i

2 - i