eguruchela

Find Discriminant Value of Polynomial 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
Quadratic Equation, ax2 + bx + c = 0
x2 + x + = 0
 
 
 
Discriminant Value (Δ) =

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
= - 103