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In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation. In this tutorial, see how to find the discriminant of a quadratic equation and use it to determine the number of solutions!
Quadratic form. In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, 4 x 2 + 2 x y â 3 y 2 {\displaystyle 4x^{2}+2xy-3y^{2}} is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group theory, differential geometry, differential topology, and Lie theory.