Discriminant Value Calculator for Polynomial Quadratic Equation
Calculate the discriminant value for the given coefficients of a quadratic equation.
Computing the discriminant, it is possible to distinguish whether the quadratic polynomial has two distinct real roots, one repeated real root, or non-real complex roots.
The discriminant of a quadratic polynomial, denoted by Δ is a function of the coefficients of the polynomial which provides information about properties of the polynomial roots.
For quadratic equation ax2 + bx + c = 0 with real coefficients a, b and c.
The discriminant of the polynomial is follows:
Δ = b2 - 4 ac
Let's understand how to find the find discriminant value of polynomial quadratic equation with help of following example:
Supose we wants to find the discriminant value of polynomial quadratic equation => 4x2 + 5x + 8 = 0.
In this equation the real coefficients are 4, 5 and 8.
The discriminant of the polynomial = Δ = ( b2 - 4 ac)
= 52 - 4 x 4 x 8
= 25 - 4 x 32
= 25 - 128
The discriminant is a function of the coefficients of a polynomial equation that expresses the nature of the roots of the given quadratic equation (ax2 + bx + c = 0). The equations can discriminate between the possible types of answer as follows:
If discriminant value is positive, we get two real solutions
If discriminant value is zero, we get one real solution
If discriminant value is negative, we get a pair of complex solutions