Complex Numbers

vocab

100

complex numbers

square is -1

200

imaginary unit

i = -1

300

imaginary axis

y axis

400

real axis

x axis

500

complex number plane

a + bi

addition/subtraction

100

(5i) + (5i)

10i

200

(5i) - (3i)

2i

300

7i + 9 + 3i

9 + 10i

400

-3i + 2 + 8i

2 + 5i

500

-36i + 34 -12 + 48i 

22 + 12i

multiplication

100

1(2i)

2i

200

2i(3i)

6i

300

-8i x 2 (3i)

48

400

-4i(-4i)

16

500

-8i x 3(-6i)

-144

i^2

100

i⁴

1

200

i²⁰

1

300

i¹³

i

400

i¹¹

-i

500

i⁹³

i

complex solutions

100

√-20

2i√5

200

√-49

7i

300

√-125

5i√5

400

√-225

15i

500

-8/i

8i