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Ex: Solve x 2 + 6x +10 = 0 a = b = c = 1 st 2 nd
Solve x 2 + 7x +14 = 0 a = b = c = 1 st 2 nd
Questions on any previous hw?
Graphing in the Complex Plane
The Complex Plane
Graphing in the complex plane
Absolute Value of a Complex Number The distance the complex number is from the origin on the complex plane. If you have a complex number (a + bi) the absolute value can be found using:
Find the absolute value of the complex number. 1. 15 + 8i
Find the absolute value of the complex number. 2. -5 + 6i
Find the absolute value of the complex number. 3. -2 – 4i
Find the absolute value of the complex number. 3. 9i
Examples 1. 2. Which of these 2 complex numbers is closest to the origin (smallest distance)? -2+5i
Try These!!! 1. 2. Which of these 2 complex numbers is closest to the origin? 3i3i
Assignment p.19 #1 – 17 p. 20 #1 – 8 p.94 #8, 10
Addition 1’s to
Addition Facts = = =
WEEK 1 You have 10 seconds to name…
Daily Check For each equation find the discriminant and the number of solutions.
ADDING INTEGERS 1. POS. + POS. = POS. 2. NEG. + NEG. = NEG. 3. POS. + NEG. OR NEG. + POS. SUBTRACT TAKE SIGN OF BIGGER ABSOLUTE VALUE.
5.4 Complex Numbers (p. 272). Imaginary Unit Until now, you have always been told that you cant take the square root of a negative number. If you use.
5.4 – Complex Numbers. What is a Complex Number??? A complex number is made up of two parts – a real number and an imaginary number. Imaginary numbers.
Chapter 6 Additional Topics in Trigonometry Trig Form of a Complex Number Objectives: Find absolute values of complex numbers. Write trig forms.
5.4 Complex Numbers By: L. Keali’i Alicea. Goals 1)Solve quadratic equations with complex solutions and perform operations with complex numbers. 2)Apply.
TWO STEP EQUATIONS 1. SOLVE FOR X 3. DIVIDE BY THE NUMBER IN FRONT OF THE VARIABLE 2. DO THE ADDITION STEP FIRST.
5-6 Complex Numbers Part 1 Big Idea: Identify and graph complex numbers.
5.6 – Complex Numbers. What is a Complex Number??? A complex number is made up of two parts – a real number and an imaginary number. Imaginary numbers.
MULT. INTEGERS 1. IF THE SIGNS ARE THE SAME THE ANSWER IS POSITIVE 2. IF THE SIGNS ARE DIFFERENT THE ANSWER IS NEGATIVE.
SUBTRACTING INTEGERS 1. CHANGE THE SUBTRACTION SIGN TO ADDITION 2. TAKE THE INVERSE OF THE SECOND NUMBER 3. FOLLOW THE RULES FOR ADDITION 4. ADD THE OPPOSITE.
Precalculus Mr. Ueland 2 nd Period Rm 156. Today in PreCalculus Announcements/Prayer New material: Sec 2.5b, “Complex Numbers” Continue working on Assignment.
25 seconds left….. 24 seconds left….. 23 seconds left…..
DIVIDING INTEGERS 1. IF THE SIGNS ARE THE SAME THE ANSWER IS POSITIVE 2. IF THE SIGNS ARE DIFFERENT THE ANSWER IS NEGATIVE.
MULTIPLICATION EQUATIONS 1. SOLVE FOR X 3. WHAT EVER YOU DO TO ONE SIDE YOU HAVE TO DO TO THE OTHER 2. DIVIDE BY THE NUMBER IN FRONT OF THE VARIABLE.
© S Haughton more than 3?
Title Subtitle 1. A. B. C. C. * D. Click to try again! INCORRECT.
Squares and Square Root WALK. Solve each problem REVIEW:
and 6.855J Cycle Canceling Algorithm. 2 A minimum cost flow problem , $4 20, $1 20, $2 25, $2 25, $5 20, $6 30, $
9.2 Absolute Value Equations and Inequalities. Use the distance definition of absolute value. Objective 1 Slide
BALANCING 2 AIM: To solve equations with variables on both sides.
Jeopardy Topic 1Topic Q 1Q 6Q 11Q 16Q 21 Q 2Q 7Q 12Q 17Q 22 Q 3Q 8Q 13Q 18Q 23 Q 4Q 9Q 14Q 19Q 24 Q 5Q 10Q 15Q 20Q 25 Final Jeopardy.
Absolute Value Equations Inequalities. What is Absolute Value? The distance away from the origin (zero) on a number line. Distances cannot be negative.
Lesson 6-5 Solving Open Sentences Involving Absolute Value.
4.6 Perform Operations with Complex Numbers. EXAMPLE 1 Solve a quadratic equation Solve 2x = –37. 2x = –37 Write original equation. 2x 2.
MULTIPLYING MONOMIALS TIMES POLYNOMIALS (DISTRIBUTIVE PROPERTY)
1.1 Real Numbers and the Coordinate Plane HW: Pg. 11# 1 – 14 (for 5 – 10 write them in interval notation as well) Pg. 21 # 7 – 10 Finish Sets of Numbers.
1.6 – Solving Compound and Absolute Value Inequalities.
Holt Algebra 1 3-Ext Solving Absolute-Value Inequalities 3-Ext Solving Absolute-Value Inequalities Holt Algebra 1 Lesson Presentation Lesson Presentation.
Lesson 6.5 Trigonometric Form of Complex Numbers.
Solve & Graph Absolute Value Inequality. Remember … Simplify the following: 1. |-5| = 2. |5| = 3. |8 + (-8)| = 4. |8| + |-8|= What does absolute value.
5-6 Complex Numbers Algebra 2 Prentice Hall, 2007.
Richmond House, Liverpool (1) 26 th January 2004.
Inequalities Section 10.6 Absolute Value of Products in Open Sentences.
1.8 Absolute Value Equations and Inequalities Warm-up (IN) Learning Objective: to write, solve and graph absolute value in math and in real-life situations.
We will resume in: 25 Minutes We will resume in: 24 Minutes.
ALGEBRAIC EXPRESSIONS Step 1 Write down the question Step 2 Plug in the numbers Step 3 Use PEMDAS Work down, Show all steps.
By D. Fisher Geometric Transformations. Reflection, Rotation, or Translation 1.
Coordinate Plane Practice The following presentation provides practice in two skillsThe following presentation provides practice in two skills –Graphing.
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.
SOLVING EQUATIONS AND EXPANDING BRACKETS AIM: USE FLOWCHARTS TO SOLVE EQUATIONS A + 5 = 12 A A A = 7 3C = 12 C 3 12 C = 4.
Unit 5, Lesson 1. Do Now Solve: 1.|x + 2| = 5 x + 2 = 5 or x + 2 = -5 x = 3 or -7 2.|x + 4| < 8 x x -12.
Frigid Fridays On each Friday last January, the temperature was a record low temperature for the date. On Friday, January 30, the mercury dropped to 5°F,
SYSTEMS OF EQUATIONS. Substitution Method Ex. 1:2x + y = 15 y = 3x We have been using the Substitution Property in our proofs. Now we are going to use.
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