Quadratic Equation Calculator

A quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the coefficients a, b, and c of the quadratic equation in its basic standardized form. The solution of a quadratic equation usually consists of two distinct real or complex roots, or one double root — calculated using the discriminant.

Calculation:

Solution in text:

-1.99a²-9.552a+237=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 1977.760704
D > 0 ... The equation has two distinct real roots

a₁ = 8.7738748
a₂ = -13.5738748

P = {8.7738748; -13.5738748}