Imaginary Number:

1
Imaginary Number
POWERS of i Is there a pattern?
Pattern repeats every 4th power Divide power by
4 and use remainder
Ex
2
Example 1 Simplifying Powers of i
B
C
A
D
E
E
3
Example 2 Simplify Square Roots of Negative
Numbers
A
4
Example 3 Multiplying Pure Imaginaries 1st
Convert all square roots into imaginary number
notation
A
5
Example 4 Operations with Complex
Numbers Complex Number binomial term of real and
imaginary
Add and Subtract Combine Like Terms Multiply
FOIL, Distributive Property, Laws of
Exponents Division Rationalize with Conjugates
B
A
D
6
Example 5 Simplifying Using Complex Conjugates
A
C
B
D
Binomial Conjugate
Binomial Conjugate
7
Example 6 Equations with Imaginary Solutions
Additional examples to come with quadratic formula
A
C
D
8
PRACTICE Equations with Imaginary Solutions
A
C
D