Warm-up Find the missing term to make the following a perfect square trinomial. Why do you think this is called Complete the Square?

Slides:



Advertisements
Similar presentations
How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.
Advertisements

Solving Quadratic Equations Using Square Roots & Completing the Square
EXAMPLE 1 Solve a quadratic equation by finding square roots Solve x 2 – 8x + 16 = 25. x 2 – 8x + 16 = 25 Write original equation. (x – 4) 2 = 25 Write.
Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =
7.1 – Completing the Square
SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)
U4L3 Solving Quadratic Equations by Completing the Square.
Solve.. Question of the Day CCGPS Geometry Day 62 ( ) UNIT QUESTION: How are real life scenarios represented by quadratic functions? Today’s.
Completing the Square.
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.
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
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 Polynomials by Completing the Square. Perfect Square Trinomials l Examples l x 2 + 6x + 9 l x x + 25 l x x + 36.
Warm-up 1.What are the different ways to solve quadratic equation? Solve the following problem by completing the square.
Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
Completing the Square. Methods for Solving Quadratics Graphing Factoring Completing the Square Quadratic Formula.
Ch 10: Polynomials G) Completing the Square Objective: To solve quadratic equations by completing the square.
Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.
Algebra 2 Notes March 23, Do you remember the Quadratic Formula? - Work with the people around you. Brainstorm and try and remember the quadratic.
Solving Quadratic Equations by Completing the Square.
Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.
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.
Warm-Up 1. Find the -Vertex -Y-Intercept -X-intercepts 2. Graph 3. Factor.
3.7 Completing the Square Objective:
Solving Quadratic Equations by Completing the Square
Algebra 1 Warm up #3 Solve by factoring:.
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by the Complete the Square Method
Creating Perfect Square Trinomial
Solving Quadratic Equations by Completing the Square
4.6 Completing the Square Learning goals
4.6 Completing the Square Learning goals
Solving Quadratic Equations by Completing the Square
Warm – Up #11  .
Solving Quadratic Equations by Completing the Square
Section 4.7 Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations
Solving Quadratic Equations by Completing the Square
Completing the Square CA 14.0, 23.0.
10.7 Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
3.4 Solving Simple Quadratic Equations, Completing the Square, and Solving Equations using Completing the Square.
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Objective - To solve quadratic equations by completing the square.
Quadratic Equations.
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
6-3 Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Ch 10: Polynomials G) Completing the Square
Presentation transcript:

Warm-up Find the missing term to make the following a perfect square trinomial. Why do you think this is called Complete the Square?

Objective - To solve quadratic equations by completing the square. Methods for Solving Quadratic Equations 1) Square Root Method (Doesn’t work with linear terms) 2) Graphic Method (Often difficult to tell) x=-1x=3 3) Quadratic Formula a=1 b= -2 c= -3 (Always works) 4) Factoring Method (Works when factorable) 5) Completing the Square (Always works)

Solve by completing the square. Complete the perfect square trinomial #1

Solve by completing the square. Complete the perfect square trinomial #2

Solve by completing the square. Complete the perfect square trinomial #3

Practice

Solve the problem on your own using a white board by completing the square.