Unlock the secrets of quadratic equations with our Polynomial Discriminant Calculator. Easily determine the nature of roots – real, complex, or repeated – for any equation of the form ax² + bx + c = 0. Get instant, accurate results to solve polynomial equations.
Formula:
The discriminant (Δ) for a quadratic equation ax² + bx + c = 0 is calculated as: Δ = b² - 4ac.
The roots are found using the quadratic formula: x = (-b ± √Δ) / 2a.
Where:
a: Coefficient of x²
b: Coefficient of x
c: Constant term