PPT-9.4 Solve by Completing the 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. This PowerPoint . was adapted from . http://. www.purplemath.com/modules/quadform2.htm. and . http://. teachers.henrico.k12.va.us/math/hcpsalgebra2/Documents/6-4/2006_6_4.ppt. Looking Back…. In our previous lesson, we solved quadratic function by . 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. Recall from JC maths / science:. Speed and distance are scalars. We use the vector versions, velocity (. ) and displacement (. ):.  . 1. Solve Problems About Linear Motion. only works for constant (or average) velocity.. 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 . 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). Chapter 3.8. Square Matrix. Although a matrix may have any number of rows and columns, . square matrices. have properties that we can use to solve systems of equations. A square matrix is one of the form . 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. 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. Radioisotopes decay in a . predictable. way. The time is takes for half of a sample to decay is called the . half life . for the isotope.. Every radioactive element has a unique half-life. C-14 is . 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.. 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