Complex Numbers

Vocabulary

100

Absolute Value

The distance a number is from zero

200

Complex Number

A complex number is any number that can be written in the form of a+bi, where a and b are real numbers and i = (square root -1)

300

Imaginary Unit

Any negative sqaure root

400

Imaginary Number

The square root of a negative number, written in the form bi, where b is a real number and i is the imaginary unit, √-1

500

Quadratic Formula

x = [-b ± √(b2 - 4ac)]/2a

Addition/Subtraction

100

(2+i) + (1+2i)

3+3i

200

(4+i) + (7+5i)

11+6i

300

(-11+3i) + (9+2i)

-2 + 5i

400

(7-2i) - (2-6i)

5-8i

500

6i-(14-i)+(5-3i)

-9+4i

Multiplication

100

2i(8-3i)

-6+16i

200

-i(-2+10i)

10+2i

300

(4-i)^2

15-8i

400

(7+i)(4-i)

29-3i

500

(2-4i)(-5-3i)

-22+14i

i^2

100

i^19

-i

200

i^28

1

300

i^42

-1

400

i^30

-1

500

i^15

-i

Complex Solutions

100

√-25

5i

200

√-169

13i

300

√-20

2i√5

400

√-78 

√78i

500

x^2 + 4x + 5 = 0

-2 +/- i