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Answer: A quadratic is a polynomial equation of a second degree that comprises a minimum of one term that is squared.

Explanation: It is also called a quadratic equation.

A quadratic is a mathematical expression equation that involves the variable raised to the power of two (x^2). It is a fundamental concept in algebra and has wide applications in various fields of science, engineering, and economics.

A quadratic equation is typically written in the form of:

ax^2 + bx + c = 0

Here, "a," "b," and "c" are constants, and "x" is the variable. The highest power of the variable is 2, hence the term "quadratic." The constant term "c" can be zero, which simplifies the equation to ax^2 + bx = 0.

The solutions to a quadratic equation are the values of "x" that make the equation true. The quadratic formula is a well-known formula used to find these solutions:

x = (-b ± √(b^2 - 4ac)) / (2a)

The discriminant, b^2 - 4ac, within the square root determines the nature of the solutions. If the discriminant is positive, there are two real and distinct solutions. If it is zero, there is one real solution (known as a repeated root). If it is negative, there are two complex solutions.

Quadratic equations are essential in solving various real-world problems involving areas, distances, projectile motion, optimization, and more. They also play a crucial role in calculus and the study of parabolas.

I hope this provides you with a clear understanding of what a quadratic is and its significance in mathematics. If you have any further questions, feel free to ask!

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