1. Wednesday August 22

2. UNIT QUESTION: What is a quadratic function?
Math II
UNIT QUESTION: What is a quadratic function?
Standard: MM2A3, MM2A4
Today’s Question:
How do we take the square root of negative numbers?
Standard: MM2N1.a, b, c, d

3. Basic Skills Review

4. in a math class far, far away..
A long long time ago,
in a math class far, far away..
There was no way
to take the square root
of a negative number

5. Every time we squared a negative number
We got a positive.

6. (-1) = 1
(-2) = 4
(-3) = 9

7. that when multiplied by itself
Was there a number,
that when multiplied by itself
Gave you a negative???

8. Can we in fact, take the square root
of a negative number?
WE CAN!!!!

9. Ladies and Gentlemen of Math II
I present to you
a NEW number...
A number so complex...

10. It stretches the imagination..
I present to you:

12. Examples of how we use:

13. MORE Examples

14. Powers of

15. Do some examples in class before proceeding…

16. Always divide the exponent by 4.
Powers of
Always divide the exponent by 4.
If you get a remainder of 1 or 0.25, then the answer is __
If you get a remainder of 2 or 0.50, then the answer is __
If you get a remainder of 3 or 0.75, then the answer is __
If it divides evenly, then the answer is __.

18. Try these…
i 117
i 90
i 73
i 56
i 63
i 316
i 33
i 83
i 25
i 18

19. Complex Numbers A complex number has a real part & an imaginary part.
Standard form is:
Real part
Imaginary part
Example: 5+4i

20. Adding/Subtracting Complex Numbers
Combine the like terms and watch the signs!
3+5𝑖 + 6+2𝑖 =
−5+7𝑖 + 3−4𝑖 =
2−9𝑖 − 7+4𝑖 =

21. Try a few! 1. 2. 3. 4.