PPT-Solving quadratic equations

From brackets factorising and tacking it to the next level Solving quadratic equations from brackets Easypeasy lemon squeeze Once there was a land where Mr wiggly worm lived One day Mr wiggly worm was out and about in his garden When suddenly something dropped on his head oh my Mr wiggly worm exclaimed Mr wiggly worm looked down to find a quadratic equation in the form of a bracket Mr wiggly worm picked up the brackets and he said Mr wiggly worm will help with the bracket problem. 6.5 . – . Quadratic Equations and Applications. 1. A . _______________________. is an equation that can be written in the form. :. . (. this is called . _______________. ). where . , . , and . are real #’s and . KFUPM - Prep Year Math Program (c) 20013 All Right Reserved. . Quadratic Equations . . Solving . Quadratic Equation. . . The . Discriminant. . Equations . that Quadratic in Form . 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. . Multiplication . Equations. 3-3 Solving . Multiplication . Equations. Solve. Solution. GOAL. Find the value of the variable that makes the. equation TRUE.. The value that makes the equation true.. To isolate the variable (have the variable on one. Problem 1. There are 25 toys in a playground. . The toys are either bicycles (2 wheels) or tricycles (3 wheels). . In total in the playground there are 61 wheels. . How many bicycles are in the playground?. 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). If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . There are many uses of parabolas in real-world applications.. Graphs of Quadratic Functions. Plotting quadratic curves. If you remember a relation is a correspondence between two sets of numbers called the . Algebra 2. Chapter 9. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Tammy Wallace. Varina High. What is a Quadratic Equation?. A . QUADRATIC EQUATION. is an equation in which the greatest power of any variable is 2. . The standard form of a quadratic equation 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. 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 1North Carolina Standard Course of StudyNorth Carolina Math 2Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and quantitatively3Construct via Steven J Miller, Williams College (sjm1@Williams.edu). 1. https://web.williams.edu/Mathematics/sjmiller/public_html/math/talks/talks.html. Goals. Learn how to solve polynomial equations and see applications of polynomials and ways to find their roots..