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What is the discriminant of the quadratic equation 3 – 4x = –6x2? Find answers now! No. 1 Questions & Answers Place. Step 3: The discriminant value will be displayed in the output field. Discriminant Definition. A discriminant is a function of the coefficients of a polynomial equation that expresses the nature of the roots of the given quadratic equation. The equations can discriminate between the possible types of answer, such as: When the discriminant value ... Discriminant equations are an important class of Diophantine equations with close ties to algebraic number theory, Diophantine approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications.Choose the appropriate method for solving a quadratic equation based on the value of its discriminant. While the quadratic formula will solve any quadratic equation, it may not be the most efficient method. When solving applications, use the key words and phrases to set up an algebraic equation that models the problem.