What is Discriminant?

The discriminant is a mathematical term used in algebra, particularly in the context of quadratic equations. It is a value calculated from the coefficients of a quadratic equation in the form ax² + bx + c = 0. The discriminant is given by the expression b² – 4ac.

The discriminant helps determine the nature of the solutions of a quadratic equation.

• If b² – 4ac > 0, the quadratic equation has two distinct real solutions.
• If b² – 4ac = 0, the quadratic equation has one real solution (called a repeated or double root).
• If b² – 4ac < 0, the quadratic equation has no real solutions (the solutions are complex conjugates).

Discriminant is a fundamental concept in mathematics, particularly in the field of quadratic equations. Its significance extends beyond the confines of mathematical equations, finding relevance and application in diverse real-world scenarios. Understanding the discriminant not only illuminates the nature of solutions to quadratic equations but also has practical implications across various fields such as engineering, economics, physics, computer graphics, geographical analysis, and medical research.