Learn How to Find Discriminant Value of Quadratic Equation

Definition:

Single polynomial equation of the second degree is termed as the quadratic equation. The discriminant of a quadratic equation provides vital information about the nature of the roots. It expresses whether the derived solution was either rational or irrational.

Example:

Find the discriminant value for the quadratic equation 10x² + 21x - 10 = 0

Given,

Coefficient of x² (a) = 10 Coefficient of x (b) = 21 Constant (c)          = -10

To find,

Discriminant (Δ) Δ= b² − 4 X a X c Δ = 21² − 4 X 10 X (-10) Δ = 441 + 400 Δ = 841