Quadratic equation definition short. For example, the equation x 2 − 4x + 4 = 0 is quadratic. These equations can be solved using methods such as factoring, completing the Apr 21, 2022 · The word quadratic in the term Quadratic equations is derived from quadratus, a Latin word for 'square'. In this blog post, we’ll break down what a quadratic equation is, its standard form, and provide simple and relatable examples to help you Quadratic equation In mathematics, a quadratic equation (from Latin quadratus ' square ') is an equation that can be rearranged in standard form as [1] where the variable x represents an unknown number, and a, b, and c represent known numbers, where a ≠ 0. In other words, it is an equation where the highest power of the variable equals 2. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. Whether you’re solving real-world problems involving motion, engineering designs, or financial predictions, understanding quadratic equations is essential. For example, x 2 is a quadratic term, and 3x 2 + 2x + 1 is a quadratic expression because of the quadratic term 3x 2. How to use quadratic equation in a sentence. Quadratic Equations An example of a Quadratic Equation: The function can make nice curves like this one: Name The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x2). Aug 29, 2025 · The meaning of QUADRATIC EQUATION is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. Quadratics can be defined as a polynomial equation of a second degree, which means that it comprises a Quadratic equation definition: an equation containing a single variable of degree 2. Quadratic Equation Quadratic equations are second-degree algebraic expressions and are of the form ax 2 + bx + c = 0. . See examples of QUADRATIC EQUATION used in a sentence. ” There are many scenarios where a quadratic equation is used Definition A quadratic is any term, expression, or equation where the variable’s highest power (or exponent) equals a square (power of 2 or 2). Any quadratic equation can be put into standard form, ax²+bx+c=0, where a, b, and c are constants. ) Aug 3, 2023 · What is the quadratic formula in standard form. Description Quadratic equations are fundamental in algebra and involve variables raised to the second power. Its general form is ax 2 + bx + c = 0, where x is the variable and a, b, and c are constants (a ≠ 0). Jun 23, 2025 · A quadratic equation is a second-order polynomial equation in a single variable x $$ax^2 + bx + c = 0$$ with a ≠ 0 . In other words, a quadratic equation is an “equation of degree 2. It is also called an "Equation of Degree 2" (because of the "2" on the x) Jun 27, 2025 · Quadratic equations are among the most important concepts in algebra and mathematics as a whole. The term "quadratic" comes from the Latin word "quadratus" meaning square, which refers to the fact that the variable x is squared in the equation. Solutions for the unknown x are called zeros or roots. Learn how to solve a quadratic equation with steps, example, and diagrams May 25, 2025 · Learn theory, properties, geometric meaning, and solving methods of quadratic equations in this learning module with related examples. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic. A quadratic equation is an equation with a degree of 2. Quadratic Equation Topic Equations Definition A quadratic equation is a polynomial equation of degree 2, typically in the form ax 2 + bx + c = 0. pfv lcp yhnnbcm dwjy num mjb xgjl orye wsltk izuphlas