Discriminant Calculator

A discriminant calculator is very helpful for finding the discriminant value of a quadratic equation without knowing its formula or value calculation, and it also provides the full solution with the formula.

Yes, a discriminant calculator can be used to determine the nature of the roots of a quadratic equation based on the value of the discriminant.

The accuracy of a discriminant calculator is 100% because it uses an algorithm based on the discriminant formula, which cannot be wrong. It has the ability to find both larger and smaller discriminant values.

A quadratic equation is a second-order polynomial equation in a single variable $(x)$, with the form $ax^2 + bx + c = 0$, where $a \neq 0$

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by:

It provides important information about the nature of the roots of the equation.

The discriminant helps in determining the nature of the roots of a quadratic equation:

• If $D > 0$, there are two distinct real roots.
• If $D = 0$, there is one real root (a repeated root).
• If $D < 0$, there are no real roots; instead, there are two complex roots.

Yes, the calculator can identify if a quadratic equation has complex roots based on the discriminant. However, it does not provide the complex roots themselves.

The calculator requires three inputs:

• $(a)$: The coefficient of $x^2$ (must be non-zero)
• $(b)$: The coefficient of $x$
• $(c)$: The constant term

Ensure that the input values for $(a)$, $(b)$, and $(c)$ are valid numbers. For example, enter the coefficients as numerical values without any additional characters or spaces.