Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. The solutions to a quadratic equation of the form ax2 + bx + c 0, where are given by the formula: To use the Quadratic Formula, we substitute the values of a, b, and c from the standard form into the expression on the right side of the formula. These solutions may be both real, or both complex. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has two solutions. We recommend using aĪuthors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c0, (1) with a0. Use the information below to generate a citation. We guarantee that this term will be present in the equation by requiring a 0 a 0. The only requirement here is that we have an x2 x 2 in the equation. First, the standard form of a quadratic equation is. Then you must include on every digital page view the following attribution: So, we are now going to solve quadratic equations. Learn how to use the quadratic formula and the discriminant to find the number of solutions. Enter your own equation or use the calculator to find the solutions, roots, factors and more. If you are redistributing all or part of this book in a digital format, Solve quadratic equations using factoring, complete the square and the quadratic formula step-by-step. Then you must include on every physical page the following attribution: This video explains how to solve quadratic equations using the quadratic formula.How To Solve Simple Quadratic Equations. Although the quadratic formula works on any quadratic equation in standard form, it is easy to make errors in substituting the values into the formula. If you are redistributing all or part of this book in a print format, The fourth method of solving a quadratic equation is by using the quadratic formula, a formula that will solve all quadratic equations. By the end of the exercise set, you may have been wondering ‘isn’t there an easier way to do this’ The answer is ‘yes’. When we solved quadratic equations in the last section by completing the square, we took the same steps every time. Want to cite, share, or modify this book? This book uses the Solve Quadratic Equations Using the Quadratic Formula. 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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