Check it out What is a Quadratic Equation You cant go through algebra without seeing quadratic equations. Follow along as this tutorial shows you how to graph a quadratic equation to find the solution. And you'll understand how to make initial guesses and approximations to solutions by looking at the graph, knowledge which can be very helpful in later classes, when you may be working with software to find approximate "numerical" solutions.īut in practice, given a quadratic equation to solve in your algebra class, you should not start by drawing a graph. One of the many ways you can solve a quadratic equation is by graphing it and seeing where it crosses the x-axis. If you come away with an understanding of that concept, then you will know when best to use your graphing calculator or other graphing software to help you solve general polynomials namely, when they aren't factorable. In addition to fewer steps, this method allows us to solve equations that do not factor. About the only thing you can gain from this topic is reinforcing your understanding of the connection between solutions of equations and x-intercepts of graphs of functions that is, the fact that the solutions to "(some polynomial) equals (zero)" correspond to the x-intercepts of the graph of " y equals (that same polynomial)". Chapter 9 Solving Quadratic Equations and Graphing Parabolas 9.1 Extracting Square Roots 1432.
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