What is a Quadratic Equation?

Learn how quadratic equations arise from real-life situations, what quadratic equations and quadratic trinomials are, how they are related, and how to determine whether an equation is quadratic.

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Summary
Practice

Playing with quadratic trinomials

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Elementary
Reduce the expression to the form of a quadratic trinomial, if possible. Determine the values of its coefficients A, B and C.
x2+5x+6x^2 + 5x + 6

Quadratic or not?

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Elementary
Determine if the given equation is quadratic. If so, bring it to the general form of a quadratic equation. Determine the values of its coefficients A, B and C.
11x2+2x−3=011x^2 + 2x - 3 = 0

Quadratic Constructor

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Elementary
Construct a quadratic equation with variable q from the given coefficients:
A=−4,B=2π,C=33A = -\sqrt{4}, \enspace B = 2\pi, \enspace C = 3\sqrt{3}
What is a Quadratic Equation?