logging in or signing up Quadratic Equation 54655 Download Post to : URL : Related Presentations : Let's Connect Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Copy embed code: Embed: Flash iPad Dynamic Copy Does not support media & animations Automatically changes to Flash or non-Flash embed WordPress Embed Customize Embed URL: Copy Thumbnail: Copy The presentation is successfully added In Your Favorites. Views: 906 Category: Education License: All Rights Reserved Like it (1) Dislike it (0) Added: January 29, 2012 This Presentation is Public Favorites: 2 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript PowerPoint Presentation: Quadratic Equation By 10 ‘C’ StudentsPowerPoint Presentation: What is A Quadratic Equation A Quadratic Equation in Standard Form (a, b, and c can have any value, except that a can't be 0.) The letters a, b and c are coefficients. The letter "x" is the variable or unknownPowerPoint Presentation: For Example this makes it a quadratic The name Quadratic comes from "quad" meaning square, because of x 2 (in other words x squared ). It can also be called an equation of degree 2.PowerPoint Presentation: Some othe r Example Where a=2, b=5 and c=3 This one is a little more tricky: Where is a ? In fact a=1 , because we don't usually write "1x 2 " b=-3 And where is c ? Well, c=0 , so is not shown.PowerPoint Presentation: We can solve Quadratic equation by 3 methods: 1:BY FACTORISATION METHOD 2: BY COMPLETING THE SQUARE METHOD 3:BY QUADRATIC FORMULAPowerPoint Presentation: Solving Quadratic Equations by Factorisation methodPowerPoint Presentation: Solving Quadratic Equations by Factorisation This presentation is an introduction to solving quadratic equations by factorisation. The following idea is used when solving quadratics by factorisation. If the product of two numbers is 0 then one (or both) of the numbers must be 0. So if xy = 0 either x = 0 or y = 0 Considering some specific numbers: If 8 x x = 0 then x = 0 If y x 15 = 0 then y = 0PowerPoint Presentation: Solving Quadratic Equations by Factorisation a x 2 + b x + c = 0 , a 0 Some quadratic equations can be solved by factorising and it is normal to try this method first before resorting to the other two methods discussed. The first step in solving is to rearrange them (if necessary) into the form shown above. x 2 = 4 x Example 1: Solve x 2 – 4 x = 0 x ( x – 4) = 0 either x = 0 or x – 4 = 0 if x – 4 = 0 then x = 4 Solutions (roots) are x = 0 , x = 4 rearrange factorisePowerPoint Presentation: 6 x 2 = – 9 x Example 2: Solve 6 x 2 + 9 x = 0 3 x (2 x + 3) = 0 either 3 x = 0 or 2 x + 3 = 0 x = 0 or x = – 1½ rearrange factorisePowerPoint Presentation: Solving Quadratic Equations by Completing the SquareCreating a Perfect Square Trinomial: Creating a Perfect Square Trinomial In the following perfect square trinomial, the constant term is missing. x 2 + 14x + ____ Find the constant term by squaring half the coefficient of the linear term. (14/2) 2 x 2 + 14x + 49Solving Quadratic Equations by Completing the Square: Solving Quadratic Equations by Completing the Square Solve the following equation by completing the square: Step 1: Move quadratic term, and linear term to left side of the equationSolving Quadratic Equations by Completing the Square: Solving Quadratic Equations by Completing the Square Step 2: Find the term that completes the square on the left side of the equation. Add that term to both sides.PowerPoint Presentation: Solving Quadratic Equations by Completing the Square Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.Solving Quadratic Equations by Completing the Square: Solving Quadratic Equations by Completing the Square Step 4: Take the square root of each sideSolving Quadratic Equations by Completing the Square: Solving Quadratic Equations by Completing the Square Step 5: Set up the two possibilities and solvePowerPoint Presentation: Solving Quadratic Equations by Quadratic formulaPowerPoint Presentation: The Quadratic Formula.PowerPoint Presentation: What Does The Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist) even if the quadratic equation does not factorise. The formula states that for a quadratic equation of the form : ax 2 + bx + c = 0 The roots of the quadratic equation are given by :PowerPoint Presentation: Example 1 Use the quadratic formula to solve the equation : x 2 + 5x + 6= 0 Solution: x 2 + 5x + 6= 0 a = 1 b = 5 c = 6PowerPoint Presentation: x = - 2 or x = - 3 These are the roots of the equation.PowerPoint Presentation: Thank you Made And Presented By Amar Abhishek Rawat Abhishek Solanki Abhishek Sharma Ajay Anirudh You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.