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Complex Numbers Operations with Complex Numbers
What is the Imaginary Unit?
What are imaginary and complex numbers? A complex number is a number composed of a real number and an imaginary number.
Examples of Complex Numbers A complex number is always written in standard form : a + bi, where a is the real part and bi is the imaginary part. 2 + 3i 5 – 5i
Plotting Complex Numbers The x-axis is all the real numbers The y-axis is all the complex numbers.
Plotting Complex Numbers 4 + 2i -1 + i - 4i 3 6 – 3i
Adding and Subtracting Complex Numbers
Steps for Adding and Subtracting Complex Numbers Step 1: Identify and combine like terms Step 2: Perform stated operation
Absolute Value of a Complex Number Let’s try it! Find the absolute value of the complex number 3 + 4i.
Classwork Access on the OLC OR Complete on paper
Complex Numbers Any number in form a+bi, where a and b are real numbers and i is imaginary. What is an imaginary number?
Complex Numbers Section 0.7. What if it isnt Real?? We have found the square root of a positive number like = 4, Previously when asked to find the square.
Chapter 5 Section 4: Complex Numbers. VOCABULARY Not all quadratics have real- number solutions. For instance, x 2 = -1 has no real-number solutions because.
2.2 Complex Numbers Fri Feb 20 Do Now 1) 2x^2 -8 = 0 2) (sinx)^2 – 2sinx + 1 = 0.
Objective Perform operations with complex numbers.
Adding First, you need to know… Associative Property of Addition When: (a + b) + c = a + (b + c) Commutative Property of Addition When: a + b= b + a.
Section 5.4 Imaginary and Complex Numbers
Graphing Complex Numbers AND Finding the Absolute Value of Complex Numbers SPI Compute with all real and complex numbers. Checks for Understanding.
4.6 – Perform Operations with Complex Numbers Not all quadratic equations have real-number solutions. For example, x 2 = -1 has no real number solutions.
5.6 Complex Numbers. Solve the following quadratic: x = 0 Is this quadratic factorable? What does its graph look like? But I thought that you could.
Warm up. Questions over hw? Skills Check Simplify.
Lesson 2.4 Read: Pages Page 137: #1-73 (EOO)
DeMoivre’s Theorem The Complex Plane. Complex Number A complex number z = x + yi can be interpreted geometrically as the point (x, y) in the complex plane.
1.3 Multiplying and Divide Complex Numbers Quiz: Thursday.
Introduction to Complex Numbers Adding, Subtracting, Multiplying And Dividing Complex Numbers SPI Describe any number in the complex number system.
Complex Numbers 2-4.
Solve the quadratic equation x = 0. Solving for x, gives x 2 = – 1 We make the following definition: Bell Work #1.
4.6 Perform Operations With Complex Numbers. Vocabulary: Imaginary unit “i”: defined as i = √-1 : i 2 = -1 Imaginary unit is used to solve problems that.
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