Learn How to Find Discriminant Value of Quadratic Equation

Learn to Solve Discriminant Quadratic Equation - Tutorial With Example

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.

Formula:

Quadratic Equation, ax2 + bx + c = 0 Discriminant (Δ) = b2 − 4 X a X c
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

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