Pdf Quadratic Equation

Data: 2.09.2017 / Rating: 4.7 / Views: 861

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Pdf Quadratic Equation

Quadratic Equations (Number and Algebra: Module 34) For teachers of Primary and Secondary Mathematics 510 Cover design, Layout design and Typesetting by Claire Ho 2. 1 QUADRATIC FUNCTIONS AND MODELS you must solve the equation ax2 bx c 0. you can use the Quadratic Formula to find the xintercepts. Mind Map Quadratic Equation Forming QE Identify QE Solving QE Type of Root Solve each equation with the quadratic formula. 1) m2 5m 14 0 2) b2 4b 4 0 3) 2m2 2m 12 0 4) 2x2 3x 5 0 solve quadratic equations by completing the square solve quadratic equations using a formula solve quadratic equations by drawing graphs Contents 1. Solving quadratic equations by factorisation 2 3. Solving quadratic equations by completing the square 5 4. Solving quadratic equations using a formula 6 5. Helpsheet QUADRATIC EQUATIONS Quadratic expressions Expanding pairs of brackets (a b)(c d). g Factorise x2 12x 32 Assume the factors are (x a)(x b). A quadratic equation is always written in the form of: 2. Examples: x2 5x 6 0 This is a quadratic equation written in standard form. Solving Quadratic Equations By Factoring Date Period Solve each equation by factoring. 1) (3 n 2)(4n If a quadratic equation cannot be factored then In algebra, a quadratic equation (from the Latin quadratus for square) is any equation having the form where x represents an unknown, and a, b, and c. You can solve a quadratic equation of the form ax 2 bx c 0 by graphing the corresponding quadratic function, f(x) ax 2 bx c. The solutions to a quadratic equation are called the roots of the equation. You can find the roots of a quadratic equation by determining the xintercepts of the graph, or the zeros of the corresponding quadratic function. 4 Graphing Quadratic Equations 10. Graph a quadratic equation by plotting points 777 In Section 6. 3 you learned to graph rstdegree equations. A quadratic equation is one which can be written in the form ax2 bxc 0 where a, band. care numbers and xis the unknown whose value(s) we wish to nd. several ways in which quadratic equations can be solved. A quadratic equation is one which can be written in the form ax2 bxc 0 where a, band. care numbers and xis the unknown whose value(s) we wish to nd. several ways in which quadratic equations can be solved. The quadratic formula You may recall the quadratic formula for roots of quadratic polynomials ax2 bx c. It says that the solutions to this polynomial are Lecture 5: Solving Equations, Completing the Square, Quadratic Formula An equation is a mathematical statement that two mathematical expressions are equal. In Chapter 8we revisit quadratic equations. In earlier chapters, we solved quadratic equations by factoring and applying the zero product rule. In this chapter, we present two additional techniques to solve quadratic equations. However, these techniques can be used to solve quadratic equations even if the equations are not factorable. 1 Graphing Quadratic Functions 249 Graphing Quadratic Functions GRAPHING A QUADRATIC FUNCTION The equation given in Example 5 is based on temperature How can the answer be improved. THE QUADRATIC FUNCTION TH THE The Improving Mathematics Education in Schools The content of the module Quadratic Equations. to zero, we get a quadratic equation. Quadratic equations come up when we deal with many reallife situations. 6 Applications of Quadratic Equations In this section we want to look at the applications that quadratic equations and functions have in the real world. 2 Solving Quadratic Equations by Factoring 259 FINDING ZEROS OF QUADRATIC FUNCTIONS In Lesson 5. 1 you learned that the xintercepts of the graph of y. 3 Solving Quadratic Equations by Graphing 743 We now know how to find the vertex of a parabola, and if two symmetric points can be determined. SOLVING QUADRATIC EQUATIONS A quadratic equation in is an equation that may be written in the standard quadratic form if. There are four different methods

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