Homework  WB p.3-4 #36-54 (evens or odds). Chapter 1 Review.

Slides:



Advertisements
Similar presentations
Complex Numbers.
Advertisements

4.5 Complex Numbers Objectives:
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.
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.
4.8 Quadratic Formula and Discriminant
9.4 – Solving Quadratic Equations By Completing The Square
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
1.3 Complex Number System.
Notes Over 5.4 Imaginary Numbers.
Intermediate Algebra A review of concepts and computational skills Chapters 6-8.
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.
Section 2.2 The Complex Numbers.
Section 3.2 Beginning on page 104
Warm-Up: December 13, 2011  Solve for x:. Complex Numbers Section 2.1.
Warm-Up Exercises ANSWER ANSWER x =
Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities
5.7 Complex Numbers 12/17/2012.
Objectives: To solve quadratic equations using the Quadratic Formula. To determine the number of solutions by using the discriminant.
5.4 Complex Numbers Until now, you have always been told that you can’t take the square root of a negative number. If you use imaginary units, you can!
2.5 Introduction to Complex Numbers 11/7/2012. Quick Review If a number doesn’t show an exponent, it is understood that the number has an exponent of.
Chapter 2 Polynomial and Rational Functions. Warm Up 2.4  From 1980 to 2002, the number of quarterly periodicals P published in the U.S. can be modeled.
Pre calculus Problem of the Day Homework: p eoo, odds Factor the following:
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
Algebra II Honors POD Homework: p odds, odds (you must use completing the square), and 77, 83 Find all real solutions for the following:
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
2.6 Solving Quadratic Equations with Complex Roots 11/9/2012.
5.7 Complex Numbers 12/4/2013. Quick Review If a number doesn’t show an exponent, it is understood that the number has an exponent of 1. Ex: 8 = 8 1,
Unit 7 Quadratics Radical Equations Goal: I can solve simple radical equations in one variable (A-REI.2)
The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.
Imaginary Number: POWERS of i: Is there a pattern? Ex:
Ch. 4.6 : I Can define and use imaginary and complex numbers and solve quadratic equations with complex roots Success Criteria:  I can use complex numbers.
Notes Over 5.6 Quadratic Formula
9.2 THE DISCRIMINANT. The number (not including the radical sign) in the quadratic formula is called the, D, of the corresponding quadratic equation,.
Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities Chapter 5 – Quadratic Functions and Inequalities 5.4 – Complex Numbers.
A.6 Complex Numbers & Solving Equations. Imaginary Numbers.
Honors Pre-Calculus Appendix A7 Complex Numbers. Objectives Add, Subtract, Multiply, and Divide Complex Numbers Graph Complex Numbers Solve Quadratic.
Evaluate
Chapter 4 Section 8 Complex Numbers Objective: I will be able to identify, graph, and perform operations with complex numbers I will be able to find complex.
Bellwork 1)Write in standard form. 2) 3)A student is solving an equation by completing the square. Write the step in the solution that appears just before.
3.4 Complex Numbers. To make it possible to solve all quadratic equations, mathematicians invented an expanded number system called the complex number.
Any questions about the practice? Page , 11, 13, 21, 25, 27, 39, 41, 53.
ALGEBRA TWO CHAPTER FIVE QUADRATIC FUNCTIONS 5.4 Complex Numbers.
Section 2.5 – Quadratic Equations
How do I solve quadratic equations using Quadratic Formula?
Chapter 11 Quadratic Equations.
5.8 Radical Equations and Inequalities
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Solving Quadratic Equations by the Complete the Square Method
Appendix A7 Complex Numbers
Copyright © Cengage Learning. All rights reserved.
Section 5-3: X-intercepts and the Quadratic Formula
Warm-Up.
(Sections 4-5 pt. 1 & 2, 4-6 pt. 1, 4-7, 4-8 pt. 1 & 2)
Solve x2 + 2x + 24 = 0 by completing the square.
Warmup 1. Solve x2 – 14x + 9 = 0 by completing the square.
5.6 The Quadratic Formula and the Discriminant
4.8 The Quadratic Formula and the Discriminant
10.7 Solving Quadratic Equations by Completing the Square
9-6 The Quadratic Formula and Discriminant
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Quadratic Formula & the Discriminant
Squaring a value and finding its square root is the opposite
Sec. 1.5 Complex Numbers.
Homework Check.
Homework Check.
5.4 Complex Numbers.
Chapter 6, Section 5 Quadratic Formula.
Notes Over Using Radicals
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
Bell Ringer (in your Math Journal)
Presentation transcript:

Homework  WB p.3-4 #36-54 (evens or odds)

Chapter 1 Review

Radicals & Imaginary Numbers Example #1: Example #2:

Adding and Subtracting Complex Numbers Example #1: Example #2:

More conjugates! How do we find the complex conjugate of the following?

Quadratic Functions How many solutions do quadratics have (always!)? How do we solve quadratics? 4 ways: -Quadratic Formula -Factoring -Completing the Square -Graphing (not often) ***GOLDEN RULE OF SOLVING QUADRATICS: There must be a 0 on one side of the equation!!

Factoring This is the opposite of distributing. ***Make sure you first factor out the common factors! Ex)

Another one- factor this!