Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. To solve the quadratic equation ax 2 + bx + c 0 by completing the square, you can follow the steps below: Step 1: Change coefficient of x 2 equal to 1. In solving equations, we must always do the same thing to both sides of the equation. The learners will be able to: solve quadratic equation by completing the square. In this module, you will learn another way of solving quadratic equation by completing the square. ©Q D2x0o1S2P iKSuGtRa6 4S1oGf1twwuamrUei 0LjLoCM.W T PAMlcl4 drhisg2hatEsB XrqeQsger KvqeidM.2 v 5M1awdPeZ uwjirtbhi QIxnDftiFn4iOteeE qAwlXg1ezbor9aP u2B.w. Solve Quadratic Equations of the Form x 2 + bx + c 0 by Completing the Square. there are limitations in using this method especially if the trinomial is not factorable. We recommend using aĪuthors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis Create your own worksheets like this one with Infinite Algebra 2. Use the information below to generate a citation. Then you must include on every digital page view the following attribution: 5 about the signs of the product and the sum. If there are no real solutions, enter NO SOLUTION. If there is more than one solution, separate your answers with commas. If you are redistributing all or part of this book in a digital format, Steps for Completing the Square: Example 1: Solve the equation 2 8 10 0 for and enter exact answers only (no decimal approximations). The quadratic function y 1 / 2 x 2 5 / 2 x + 2, with roots x 1 and x 4. Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, We can complete the square to solve a Quadratic Equation (find where it is equal to zero). Want to cite, share, or modify this book? This book uses the This calculator uses the 'complete the square' method to solve quadratic equations and second degree polynomial equations in the form. This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.
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