Presentation is loading. Please wait.

Presentation is loading. Please wait.

Complex Numbers. Allow us to solve equations with a negative root NB: these are complex conjugates usually notated as z and z.

Published byTurner Virden Modified over 10 years ago

Similar presentations

Presentation on theme: "Complex Numbers. Allow us to solve equations with a negative root NB: these are complex conjugates usually notated as z and z."— Presentation transcript:

1 Complex Numbers

2

3 Allow us to solve equations with a negative root NB: these are complex conjugates usually notated as z and z

4 Operating on Complex Numbers in Rectangular Form (Cartesian form) Multiplication 6x(3+5i) Addition & Subtraction (3+2i) + (6-i) (2-6i) – (8-4i) Division (3-2i)÷(-7+3i) 30.2 p.278 #2-4 30.3 p.280 even # 30.4 even # 30.6 p.282 #4-8

5

6

7 The Modulus i x 4-2i 4 -2 The modulus of a complex number represents its distance from the origin on an Argand diagram. If a complex number is, then its modulus Example: Evaluate. Example: Evaluate if.

Download ppt "Complex Numbers. Allow us to solve equations with a negative root NB: these are complex conjugates usually notated as z and z."

Similar presentations

PROGRAMME 2 COMPLEX NUMBERS 2.

PROGRAMME 2 COMPLEX NUMBERS 2.
Section 1.4 Complex Numbers

Section 1.4 Complex Numbers
Algebra - Complex Numbers Leaving Cert Helpdesk 27 th September 2012.

Algebra - Complex Numbers Leaving Cert Helpdesk 27 th September 2012.
Complex numbers Definitions Conversions Arithmetic Hyperbolic Functions.

Complex numbers Definitions Conversions Arithmetic Hyperbolic Functions.
COMPLEX NUMBERS Objectives

COMPLEX NUMBERS Objectives
Quit Introduction Complex Numbers The Argand Diagram Modulus.

Quit Introduction Complex Numbers The Argand Diagram Modulus.
Solving Equations. -132 = 4x – 5(6x – 10) -132 = 4x – 30x + 50 -132 = -26x + 50 -182 = -26x 7 = x.

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Complex Numbers Section 2.1. Objectives Rewrite the square root of a negative number as a complex number. Write the complex conjugate of a complex number.

Complex Numbers Section 2.1. Objectives Rewrite the square root of a negative number as a complex number. Write the complex conjugate of a complex number.
Section 7.8 Complex Numbers  The imaginary number i  Simplifying square roots of negative numbers  Complex Numbers, and their Form  The Arithmetic.

Section 7.8 Complex Numbers  The imaginary number i  Simplifying square roots of negative numbers  Complex Numbers, and their Form  The Arithmetic.
6.2 – Simplified Form for Radicals

6.2 – Simplified Form for Radicals
Solving Two-Step Equations

Solving Two-Step Equations
What does it mean when we see numbers written like this: 4²10² 9² Since our exponent is 2, it means that we multiply the number by itself! So we have.

What does it mean when we see numbers written like this: 4²10² 9² Since our exponent is 2, it means that we multiply the number by itself! So we have.
Finding a Quadratic Equation from Complex Roots. Write an equation from the Roots Find the equation of a quadratic function that has the following numbers.

Finding a Quadratic Equation from Complex Roots. Write an equation from the Roots Find the equation of a quadratic function that has the following numbers.
Mathematics.

Mathematics.
Review and Examples: 7.4 – Adding, Subtracting, Multiplying Radical Expressions.

Review and Examples: 7.4 – Adding, Subtracting, Multiplying Radical Expressions.
Complex Numbers i.

Complex Numbers i.
Further Pure 1 Complex Numbers.

Further Pure 1 Complex Numbers.
Imaginary and Complex Numbers. The imaginary number i is the square root of -1: Example: Evaluate i 2 Imaginary Numbers.

Imaginary and Complex Numbers. The imaginary number i is the square root of -1: Example: Evaluate i 2 Imaginary Numbers.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Let’s do some Further Maths

Let’s do some Further Maths

Similar presentations

Ads by Google