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:

-T²+83T-851=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 3485
D > 0 ... The equation has two distinct real roots

T₁ = 71.0169443
T₂ = 11.9830557

P = {71.0169443; 11.9830557}