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Quadratic is a term used to describe something related to squares or a specific type of mathematical equation. In geometry, a quadratic curve is a curve that can be described by a second-degree polynomial equation. The most common example is a parabola, which is the graph of a quadratic function. This shape is characterized by its U-like or inverted U-like form.

In algebra, a quadratic equation is an equation of the form ax^2 + bx + c = 0, where 'a', 'b', and 'c' are coefficients and 'a' is not equal to zero. The highest power of the variable 'x' in this equation is two, hence the term "quadratic." The solutions to a quadratic equation are known as roots, and they can be found using various methods, including factoring, completing the square, or the quadratic formula. The number of real roots a quadratic equation has can be zero, one, or two, depending on the discriminant, which is calculated as b^2 - 4ac.

The concept of quadratic arises in many areas of mathematics and physics. For instance, projectile motion is often modeled using quadratic equations, where the path of a projectile follows a parabolic trajectory. Understanding quadratic relationships is fundamental to solving a wide range of problems in these fields.