PPT-2.4 Completing the Square

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. 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. . ENGINUITY TUTORIAL. Copyright Virtual Management Simulations. Completing a Job that Overruns. Ideally all jobs progressed will be completed either early or on time.. However, this is not always the case, and if a job overruns beyond its planned duration there are a number of affects :-. 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. In preparation for the Algebra CST. -b . . b. 2. – 4ac. 2ac. √. (x 4)(x-3)=0. (x 1)(x 2). X. 2. – 5x 4. F O I L. Complete. The Square. Multiplying Polynomials. Area Model of Multiplication. complete the square. If you have an equation in the form h = -2.25x. 2. 4.5x 6.75, where ‘h’ is height, how do you find the maximum height?. 1. st. , factor out -2.25:. 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 . 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. Completing the Square with Algebra Tiles. Completing the Square. 2. Algebra tiles can be used to complete the . square. Use . tiles and frame to represent problem. . The expression . should form a . I can find zeros by completing the square. Warm Up. Rewrite the following as perfect squares.. 1. x. 2. 14x 49 . ( _______). 2. 2. x. 2. -2x 1. (________). 2. Our goal. What if you were asked to complete the pattern of a perfect square.. What We Will Learn. Complete the square. Solve by completing the square. Needed Vocab. Completing the square:. adding a constant to an expression to turn into a perfect square trinomial. Ex. 1 Completing the Square. GCSE: Solving Quadratic Equations Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 2 nd June 2015 Overview There are 4 ways in which we can solve quadratic equations.   1 By Factorising 2 Take out: . HW. Packet. Quiz from . fri. . SWBAT: Solving quadratics by completing the square . -8. -8. 2(x-2). 2. = -12. 2. 2. (x-2). 2. = -6.  . x-2 = ±. i.  . +2. +2. x = 2 ± . i.  . SWBAT: Solving quadratics by completing the square .