Objective - To solve quadratic equations by completing 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
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
9.4 – Solving Quadratic Equations By Completing The Square
SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)
Solving Quadratic Equations by Completing the Square.
Completing the Square.
Warm-up Find the missing term to make the following a perfect square trinomial. Why do you think this is called Complete 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.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
Completing the Square and Vertex Form of a Quadratic
Warm-up 1.What are the different ways to solve quadratic equation? Solve the following problem by completing the square.
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 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.
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
Objectives Solve quadratic equations by completing the square.
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by the Complete the Square Method
Solving Quadratic Equations by Completing the Square
4.6 Completing the Square Learning goals
Solving Quadratics by Completing the Square
4.6 Completing the Square Learning goals
Solving Quadratic Equations by Completing the Square
Warm-Up.
Completing the Square (3.2.3)
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
Section 1.5 Quadratic Equations
Completing the Square CA 14.0, 23.0.
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.
Warm-Up Factor the following trinomials. What do you notice?
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
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
How do I solve quadratic equations by factoring?
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
quadratic formula. If ax2 + bx + c = 0 then
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Completing the Square
Ch 10: Polynomials G) Completing the Square
Presentation transcript:

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=-1 x=3 3) Quadratic Formula (Always works) a=1 b= -2 c= -3 4) Factoring Method (Works when factorable) 5) Completing the Square (Always works)

Solve by completing the square. Complete the perfect square trinomial

Solve by completing the square. Complete the perfect square trinomial

Solve by completing the square. Complete the square

Solve by completing the square. Complete the square

Solve by completing the square.

Solve by completing the square.

Complete the square.

Complete the square.