Solving Quadratic Equations by the Complete the Square Method

Slides:



Advertisements
Similar presentations
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Advertisements

How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.
solution If a quadratic equation is in the form ax 2 + c = 0, no bx term, then it is easier to solve the equation by finding the square roots. Solve.
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 Factorisation Type 1: No constant term Solve x 2 – 6x = 0 x (x – 6) = 0 x = 0 or x – 6 = 0 Solutions: x = 0 or x = 6 Graph.
13-1 Introduction to Quadratic Equations  CA Standards 14.0 and 21.0  Quadratic Equations in Standard Form.
9.4 – Solving Quadratic Equations By Completing The Square
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)
Warm Up Write each expression as a trinomial. Factor each expression.
6.5 – Solving Equations with Quadratic Techniques.
Section 7.2 – The Quadratic Formula. The solutions to are The Quadratic Formula
Warmup 9-11 Solve the following equations by factoring. Show work! 1.x x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve.
Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².
Quadratics Solving equations Using “Completing the Square”
Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
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.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadratic Equations.
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.
Derivation of the Quadratic Formula The following shows how the method of Completing the Square can be used to derive the Quadratic Formula. Start with.
More about Quadratic Equations November 16, 2009.
Warm-up 1.What are the different ways to solve quadratic equation? Solve the following problem by completing the square.
ALGEBRA 1 SECTION 10.4 Use Square Roots to Solve Quadratic Equations Big Idea: Solve quadratic equations Essential Question: How do you solve a quadratic.
Solving Quadratic Equations – Quadratic Formula The following shows how to solve quadratic equations using the Quadratic Formula. A quadratic equation.
Standard 20 The Quadratic Formula Example with numbers put in.
Solving a Trigonometric Equation Find the general solution of the equation.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
Notes Over 5.6 Quadratic Formula
Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.
x + 5 = 105x = 10  x = (  x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10  25 = 5 10 = = 10 5 = 5.
Notes Over 10.7 Factoring Special Products Difference of Two Squares.
Quadratics Factoring quadratics to solve equations.
Title: ch. 6 Algebra: quadratic equations. Learning Objective: WALT solve quadratic equations by using the quadratic formula. p.143.
Warm Up Solve by Completing the Square:. Solve Quadratics using the Quadratic Formula Unit 5 Notebook Page 161 Essential Question: How are quadratic equations.
SOLVING QUADRATIC EQUATIONS BY COMPLETING THE SQUARE
Equations Quadratic in form factorable equations
Solving Quadratic Equations by Completing the Square
Solve Quadratic Equations by the Quadratic Formula
Warm-Up.
Solve a quadratic equation
Sullivan Algebra and Trigonometry: Section 1.3
Solving Quadratic Equations
5.6 The Quadratic Formula and the Discriminant
9.3 Solving Quadratic Equations
4.8 The Quadratic Formula and the Discriminant
The Quadratic Formula.
10.7 Solving Quadratic Equations by Completing the Square
Factoring a Quadratic Expression
Unit 2A Test - Quadratics
3.4 Solving Simple Quadratic Equations, Completing the Square, and Solving Equations using Completing the Square.
Quadratic Formula & the Discriminant
Aim: How do we use quadratic formula to solve equation?
Solving Quadratics Using Square Roots
Objective - To solve quadratic equations by completing the square.
Quadratic Equations.
9.2 Solving Quadratic Equations using square roots
Objective Solve quadratic equations by factoring..
Solving Square Root Equations
Solving simultaneous linear and quadratic equations
Absolute Value Equations Absolute Value Inequalities Factoring
Equations Quadratic in form factorable equations
5.4 Completing the Square.
How do I solve quadratic equations by factoring?
Completing the square 1.) If the quadratic does not factor, move the constant to the other side of the equation Ex: x²-4x -7 =0 x²-4x=7 2.) Work with the.
Solving Quadratic Equations by Finding Square Roots
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
Presentation transcript:

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratic Equations by the Complete the Square Method