Special Problems (Solve)

Slides:



Advertisements
Similar presentations
Factoring the Sum or the Difference of Two Cubes. Subtitle: Know the CARD!!!
Advertisements

Objective: You will learn how to determine if a number is a perfect square and how to find the square root of perfect squares.
5.6.2 – Solving Quadratics with Square Roots. Yesterday, we looked at the properties of square roots 1) Multiplication Property 2) Division Property 3)
+ Completing the Square. + In your notes: Simplify the following: (5 – 3i)(4 + 2i) 3.
10.7 Factoring Special Products
Questions from HW??? Use Square Roots to Solve Quadratic Equations Test: FRIDAY!!!!
Essential Question: Describe two methods for solving polynomial equations that have a degree greater than two.
9.4 – Solving Quadratic Equations By Completing The Square
Section 8.3 – Systems of Linear Equations - Determinants Using Determinants to Solve Systems of Equations A determinant is a value that is obtained from.
Equations with variables on both sides Sections 3.11.
Solving System of Linear Equations
5.6.1 – Square Root Method. Recall, we solved “quadratic equations” when we set a polynomial equation equal to 0 Example. x 2 + 5x + 6 = 0.
Completing the Square 4-6 Day 1 Today’s Objective: I can use the process of completing the square to solve or rewrite a quadratic equation.
5.7 Completing the Square. Warm-up #1 Solve Warm-up #2 Solve.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
Factoring Special Products. Factoring: The reverse of multiplication Use the distributive property to turn the product back into factors. To do this,
8-1 Completing the Square
WARM UP Find the product. 1.) (m – 8)(m – 9) 2.) (z + 6)(z – 10) 3.) (y + 20)(y – 20)
Solving One- step Equations Sections Solving for the variable  GOAL: To get the variable by itself  Steps:  “ Undo” by performing the opposite.
Standard 20 The Quadratic Formula Example with numbers put in.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
Ch 10: Polynomials G) Completing the Square Objective: To solve quadratic equations by completing the square.
3.4 Notes: Factoring p. 74 in your book. FACTORING We’ll use the Sum and Product Technique We’ll use the Sum and Product Technique Our job is to find.
Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.
Warm Up. 4.3 Solve by Factoring Find this in your notes!
2.5 – Factoring Quadratics Special Cases. Special Case #1: Perfect Squares You can recognize this case because the coefficient of x and the constant are.
PERFECT SQUARES What does that mean?. SQUARE  You could make a list of “perfect squares” by thinking of numbers of objects where these objects could.
Factoring Quadratics Using the “X” method. Warm - up 1. (x - 7) 2 = x x (2k + 3) 2 = 4k k ( t - 6 )( t + 6 ) = t
Notes Over 10.7 Factoring Special Products Difference of Two Squares.
Ch 10: Polynomials G) Completing the Square Objective: To solve quadratic equations by completing the square.
Lesson 6.5: The Quadratic Formula and the Discriminant, pg. 313 Goals: To solve quadratic equations by using the Quadratic Formula. To use the discriminant.
$200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200.
Solve Equations and Inequalities Involving | Absolute Value |
Standard 14 Solve by completing the square. Example One. Instructions: Factor Perfect Square.
Aim: How do we solve quadratic equations by completing square?
Completing the Square, Quadratic Formula
Multi- Step Factoring Unit 6 Supplement.
Warm Up 1.) What is the factored form of 2x2 + 9x + 10? 2.) What is the factored form of 6x2 – 23x – 4?
Objectives Solve quadratic equations by factoring.
Warmup 1.) x2 = 36 2.) x2 = 16 3.) 5x2 = 12 4.) x3=125 5.) x3=-64 6.) 3x3=24.
Warm - up x2 – 24x 4x(x – 6) 2. 2x2 + 11x – 21 (2x – 3)(x + 7)
Write each expression as a trinomial.
Aim: How do we solve quadratic equations by completing square?
Solving Quadratic Equations by the Complete the Square Method
Section 8.3: Using Special Factors to Solve Equations
Write in standard form. Identify the leading coefficient.
Solve: 1. 4<
Solving Equations with variables on each side
Solve Systems of Equations by Elimination
Lesson 9.7 Factor Special Products
Bellwork 3/ (Solve) 1.) x2 + 6x - 7 = 0 2.) x2 + x - 12 = 0
10.7 Solving Quadratic Equations by Completing the Square
DNA 7 Label your paper Copy the notes below
Unit 5 Factor Special Products
Factor Special Products
3.4 Solving Simple Quadratic Equations, Completing the Square, and Solving Equations using Completing the Square.
Algebra 2 10/11/16 EQ: How do I solve a quadratic by factoring
Factoring Using Special Patterns General Algebra II
Solving Special Cases.
Warm-up: Factor: 6(x – 4)2 + 13(x – 4) – 5
Honors Algebra 2 Chapter 1a Review
Find a if: a2 + b2 = c2 1.) c=10, b= 8 2.) c=20,b=16 3.) a2+152=172
Bellwork 3/ (Solve) 1.) x2 + 6x - 7 = 0 2.) x2 + x - 12 = 0
7.1 – Day 2 Square Roots and Order of Operations
September 21st 2010 Be ready for a graded assignment tomorrow!
6-3 Completing the Square
8-9 Notes for Algebra 1 Perfect Squares.
Solve by Substitution 2x + y = 7 3x + 3y = - 3.
Ch 10: Polynomials G) Completing the Square
Presentation transcript:

Special Problems (Solve) 1.) x2 - 4 = 0 2.) 4x2 - 9 = 0 3.) x2 - 25 = 0 4.) 9x2 - 100 = 0 The difference of 2 perfect squares

Special Problems (Solve) 1.) x2 - 4 = 0 (x - 2)(x + 2) = 0 x - 2 = 0 & x + 2 = 0 x = 2 & x = -2

Special Problems (Solve) 2.) 4x2 - 9 = 0 (2x - 3)(2x + 3) = 0 2x - 3 = 0 & 2x + 3 = 0 2x = 3 & 2x = -3 x = 3/2 & x = -3/2

Special Problems (Solve) 3.) x2 - 25 = 0 4.) 9x2 - 100 = 0 Your Turn

Special Problems (Solve) 3.) x2 - 25 = 0 (x - 5)(x + 5) = 0 x - 5 = 0 & x + 5 = 0 x = 5 & x = -5

Special Problems (Solve) 4.) 9x2 - 100 = 0 (3x - 10)(3x + 10) = 0 3x - 10 = 0 & 3x + 10 = 0 3x = 10 & 3x = -10 x = 10/3 & x = -10/3

Classwork Do Pg. 176 # 7 – 49 First Column