PPT-Completing the Square Methods of Solving Quadratic Equations

You have learned three methods for solving equations of the form When you can solve by using the square root property For example If the expression is factorable then you can use the Product Property of Zero. Steps for solving a quadratic equation by completing the square 1 Isolate the constant on one side 2 Make sure that the coe64259cient in front of the squared term is a positive one If it is not divide every term of the equation by this coe64259cient Grades C to A*. Hyperlinks!. Expanding a single bracket. Solving quadratics by factorising. Factorising quadratic expressions. Factoring expressions. Multiplying out 2 brackets. Quadratic simultaneous equations. Lesson 5.6. Warm-up. Solve:. 2. Simplify:. . Solving Quadratic Equations: Sometimes you can use square roots to solve some quadratic equations. However, you must remember that. so you must have both the positive and negative value for your answer.. Section 3.3 Beginning on page 112. The Big Idea. Completing the square . is a technique we can use to write a quadratic in vertex form.. Completing the square is creating a . Perfect Square Trinomial. Mary has (4x +10) dollars and Ron has (-5x + 20) dollars. How much more money does Mary have than Ron?. The measure of the perimeter of a triangle is (37m+42). It is known that two of the sides of the triangle have measures of (14m +16) and (10m +20). Find the length of the third side. . Solve:. LINEAR . QUADRATIC . QUADRATIC . Quadratic Equations. Solve:. a) b) . . Learning Log Summary . LT. . 1. . – I can . solve. quadratic equations using factoring or the square root method.. Perfect Square Trinomials. Examples. x. 2. + 6x + 9. x. 2. - 10x + 25. x. 2. + 12x + 36. Creating a Perfect . Square Trinomial. X. 2. . + 14x + ____ . Find the constant term by squaring half . For example: . y=-3x. 2. +18x+25. In this lesson you . will learn to rewrite a quadratic function to reveal the maximum value . by completing the square.. Suppose we . have y=-3x. 2. +18x+25 . is negative. _____________________________________________________________. Algebra 1 – Solving . Equations - Math is Hip. ™. Prerequisite Skills Needed:. - . Order of Operations. - Add/Subtract & Multiply/Divide . Find the roots:. 1) x. 2. – 64 = 0 . 2) 8x. 2. – 64x = 0. 3) x. 2. – 16x + 64 = 0. 1) Ensure the quadratic equation is set to zero.. 2) Factor the quadratic equation (GCF, perfect square binomial [DOTS], trinomial). Expanding. Brackets. Factorising. Expanding . Double . Brackets. Solving . Linear . Equations. Plotting graphs by. substitution into . equations. Solving . Quadratic. Equations. Solving . Quadratics. Objective: To complete a square for a quadratic equation and solve by completing the square. Steps to complete the square. 1.) You will get an expression that looks like this: . . . AX. ² BX. Mathematics. Mr Richard Sasaki, Room 307. Recall how to solve quadratic equations through factorisation. Learn how to “complete the square” to solve equations for . ..  . Objectives. As we learned last class, to factorise a quadratic equation, we look for two numbers that add together to make the . 1North Carolina Standard Course of StudyNorth Carolina Math 2Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and quantitatively3Construct via