Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. We recommend using aĪuthors: Lynn Marecek, Andrea Honeycutt Mathis Its up to you to decide whether you want to deal with a given quadratic expression by using the quadratic formula, or by the method of completing the square. Use the information below to generate a citation. Completing the square is a method of solving quadratic equations that always works even if the coefficients are irrational or if the equation does not have real roots. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: Algebra Quadratic Equations Solve by Completing the Square x2 + 2x 3 0 x 2 + 2 x - 3 0 Add 3 3 to both sides of the equation. 5 about the signs of the product and the sum. If there are no real solutions, enter NO SOLUTION. Step 2: Divide both sides of the equation by a if a is not 1. Step 1: Move the constant term to the right side of the equation. If there is more than one solution, separate your answers with commas. Solving a Quadratic Equation by Completing the Square. If you are redistributing all or part of this book in a print format, 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. Steps for Completing the Square: Example 1: Solve the equation 2 8 10 0 for and enter exact answers only (no decimal approximations). Want to cite, share, or modify this book? This book uses the Solving Quadratic Equation of the Form x2 + bx + c 0 by Completing the Square. 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. The steps to solve a quadratic equation by completing the square are listed here.
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