What is a quadratic equation? A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b and c being constants, or numerical coefficients, and x being an unknown variable. Keep reading for examples of quadratic equations in standard and non-standard forms, as well as a list of quadratic equation terms. Standard Form Equation ExamplesThe easiest way to learn quadratic equations is to start in standard form. While not every quadratic equation you see will be in this form, it's still helpful to see examples. Keep in mind that the first constant a cannot be a zero. Examples of the standard form of a quadratic equation (ax² + bx + c = 0) include:
Incomplete Quadratic Equation ExamplesAs you develop your algebra skills, you'll find that not every quadratic equation is in the standard form. Check out examples of several different instances of non-standard quadratic equations. Missing the Linear CoefficientSometimes a quadratic equation doesn't have the linear coefficient or the bx part of the equation. Examples include:
Missing the Constant TermQuadratic equations can also lack the constant term, or c. For example:
Quadratic Equation Examples in Factored FormFactoring is one way to solve a quadratic equation. Here are examples of quadratic equations in factored form:
Examples of Quadratic Equations in Other FormsExamples of quadratic equations in other forms include:
If you'd like a little more explanation on quadratic equations, check out a list of essential math vocabulary terms. They can help you understand more about quadratic equations, what they're for and how to solve them.
The Logical World of MathUnderstanding quadratic equations is a foundational skill for both algebra and geometry. Now that you've seen several examples of quadratic equations, you're well on your way to solving them! Learn more about important math skills with these examples of standard deviation and how it's used in statistics. |