PPT-Quadratic Equations

KFUPM Prep Year Math Program c 20013 All Right Reserved Quadratic Equations Solving Quadratic Equation The Discriminant Equations that Quadratic in Form . 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. 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 . Page 3. General equation of a quadratic:. Quadratic Formula:. Notice where the letters come from for the formula. We use the quadratic formula when something can not be factored. However, it also works for factorable quadratic equations as well.. 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 . Mathematical Language. A . solution. of an equation is a number that make the equation true. 3x+2=17. To . solve. an equation means to find all its solution. Two equations are equivalent if they have the same solutions. Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph . Vertical y=x. 2. or Horizontal x=y. 2. Positive Negative . Summary: The of a Quadratic Function is U shaped. . Positve. 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. 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 . General Equation. Y = ax². What if A was positive?. Test in your calculator. What if A Was negative?. Test in your calculator.. Y = ax². What if A was greater than 1?. Test in your calculator. What if A Was less than 1?. Recall, we went over how to factor quadratics that are trinomials. Example. Factor the expression x. 2. 7x 12. Quadratic Equations. Quadratic Equations. are written in the form ax. 2. . bx. c = 0. 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..