IMAGINARY and COMPLEX NUMBERS

Vocabulary

100

An imaginary number is...

a+bi, if b is not equal to 0

200

What is a complex number?

Any number that can be written as a+bi, where a and b are real numbers and i=the square root of -1

300

What are non-real roots?

A quadratic function that does not cross the x-axis AND has a discriminant less than zero (producing complex roots)

400

Standard form of a complex number is...?

Written as a + bi (where a is the real part of the number and bi is the imaginary part)

500

What is the definition of a complex plane?

A coordinate plane where each point
(a, b) represents a complex number a +bi. The
horizontal axis is the real axis and the vertical axis
is the imaginary axis.

Values of i

100

what is the value of i³

-i

200

i⁶

-1

300

4i⁹

-4

400

22i⁸

22

500

749i³⁵

-749i

Standard form

100

-2i+43

43-2i

200

28-38i-4

24-38i

300

3i⁴+4i-7

-7+3i⁴+4i

400

7i⁵+76-9i

76+7i⁵-9i

500

8i⁶+10i-5i²

8i⁶-5i²+10i

Solve

100

i³+i²

-1-i

200

i⁴+i²⁰

2

300

i⁸+23+30

54

400

29+31i¹²

60

500

i³-2i⁴-26

-28-i