Discriminant Quadratic Equation Calculator
This calculator helps you determine the discriminant of a quadratic equation of the form $$ax² + bx + c = 0$$. It’s useful for students, teachers, and anyone working with algebra, as the discriminant indicates the nature and number of the equation’s roots.
Quadratic Discriminant Calculator
Discriminant Formula for Quadratic Equation
$$\Delta = b^2 – 4ac$$
Where:
- a, b, and c are coefficients of the quadratic equation $$ax² + bx + c = 0$$
- $$\Delta$$ (Delta) is the discriminant
If:
- $$\Delta > 0$$ → two distinct real roots
- $$\Delta = 0$$ → one real repeated root
- $$\Delta < 0$$ → two complex roots
The discriminant is a key part of the quadratic formula and helps predict the nature of the roots without solving the full equation. For example, if you input $$a = 1$$, $$b = 2$$, and $$c = 1$$, the discriminant is $$0$$, which tells you the equation has a repeated real root. It’s especially useful in algebra, calculus, and computer algorithms that require root classification.