Quadratic-Equations

Quadratic-Equations - Quadratic Equations in One Variable...

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From MathMotivation.com – Permission Granted For Use and Modification For Non-Profit Purposes Quadratic Equations in One Variable Definition A quadratic equation in x is any equation that may be written in the form ax 2 + bx + c = 0 , where a, b, and c are coefficients and a 0. Note that if a=0, then the equation would simply be a linear equation, not quadratic. Examples x 2 + 2x = 4 is a quadratic since it may be rewritten in the form ax 2 + bx + c = 0 by applying the Addition Property of Equality and subtracting 4 from both sides of =. (2 + x)(3 – x) = 0 is a quadratic since it may be rewritten in the form ax 2 + bx + c = 0 by applying the Distributive Property to multiply out all terms and then combining like terms. x 2 - 3 = 0 is a quadratic since it has the form ax 2 + bx + c = 0 with b=0 in this case. 3x 2 – 2/x + 4 = 0 is not a quadratic since it has the term 2/x. The term 2/x is the same as 2x -1 , and quadratics do not have x raised to any power other than 1 or 2. Just remember: Quadratics always have an x 2 term , possibly an x-term, and possibly a constant term! If your equation has an x 2 term or will have an x 2 term after multiplying out, it may be a quadratic, provided the other terms fit the form. Solving Quadratic Equations – Method 1 - Factoring The easiest way to solve a quadratic equation is to solve by factoring, if possible . Here are the steps to solve a quadratic by factoring: 1. Write your equation in the form ax 2 + bx + c = 0 by applying the Distributive Property, Combine Like Terms, and apply the Addition Property of Equality to move terms to one side of =. 2.
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This note was uploaded on 11/05/2011 for the course ANTHRO 101 taught by Professor Crandall during the Fall '09 term at BYU.

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Quadratic-Equations - Quadratic Equations in One Variable...

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