4.4 Complex Numbers (2).notebook - MAHONY MATH -...
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4.4 Complex Numbers (2).notebook September 20, 2013 Stick Quiz Write a quadratic equation with the roots –1 and in the standard form. Solve 2x 2 +5x+ 3 = 0 by factoring. Solve 3s 2 – 11 s –4=0 by factoring. ,4 –1 4x 2 + x –3=0 1 3 3 4
Transcript of 4.4 Complex Numbers (2).notebook - MAHONY MATH -...
4.4 Complex Numbers (2).notebook September 20, 2013
Stick Quiz
Write a quadratic equation with the roots –1 and in the standard form.
Solve 2x 2 + 5x + 3 = 0 by factoring.
Solve 3s 2 – 11s – 4 = 0 by factoring.
, 4
–1
4x2 + x – 3 = 0
13
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4.4 Complex Numbers (2).notebook September 20, 2013
Solve 3s 2 – 11s – 4 = 0 by factoring.
Questions
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Homework
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4.4 Complex Numbers (2).notebook September 20, 2013
I can... perform algebraic operations to complex numbers.
Part 1
Solve for x.
x2 + 64 = 0
Problem! We can't find the square root of a negative number!
4.4 Complex Numbers (2).notebook September 20, 2013
Oh wait... We can!!!Introducing: Imaginary Numbers!
So... What is √4?
4.4 Complex Numbers (2).notebook September 20, 2013
4.4 Complex Numbers (2).notebook September 20, 2013
Back to our problem...
x2 + 64 = 0
4.4 Complex Numbers (2).notebook September 20, 2013
_______ _______
_______ _______
Simplifying Radicals
1. 2.
3. 4.
Find a Biggest Perfect Square that divides into the number under the radical.
Perfect Squares!
4.4 Complex Numbers (2).notebook September 20, 2013
6. SimplifyFirst take out i
Second Squish together
Simplify
√3 √6
4.4 Complex Numbers (2).notebook September 20, 2013
4.4 Complex Numbers (2).notebook September 20, 2013
You Try!
7.
8.
√6 √8Simplify 4√3
White Boards
9.
Solve
4x2 + 4 = 0 2x2 + 10 = 09. 10.
4.4 Complex Numbers (2).notebook September 20, 2013
You Try! On the White Boards!!!!Solve.
2x2 + 50 = 0 6x2 + 108 = 011. 12.
Simplify:
4x + 2x 6x
3x 5x 2x
4i + 2i 6i
3i 5i 2i
White Boards!!!!
4.4 Complex Numbers (2).notebook September 20, 2013
(2 4i) + (3 + 5i)
(3 + 6i) + (7 4i)
Adding Complex Numbers:
Complex Number
a + bi** Add reals *** Add Imaginary**
(2 4i) (3 + 5i)
(3 + 6i) (7 4i)
Subtracting Complex Numbers:
4.4 Complex Numbers (2).notebook September 20, 2013
(3 + 5i) + (2 – 4i)
(4 – 6i) – (3 – 7i) (2 + 6i) + (3 + 4i)
(3 + 2i) – (–2 + 5i)
You Try! Simplify the expression.
13. 14.
15. 16.
White Boards!!!
Multiplying/Dividing Complex Numbers
Next class!
4.4 Complex Numbers (2).notebook September 20, 2013
Homework 4.4 Pg. 250
#1823, 2629, 3641,48,
49,51,52,66
Different than your Stamp Sheet!
