Quadratic equation calculator

Quadratic equation has the basic form:

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

Enter the quadratic equation's coefficients a, b, and c of its basic standardized form. A solution of quadratic equations is usually two different real or complex roots or one double root — the calculation using the discriminant.

Calculation:

Solution in text:

-c²+14.421066097481c-27=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 99.9671473879
D > 0 ... The equation has two distinct real roots

c₁ = 12.2097117
c₂ = 2.2113544

P = {12.2097117; 2.2113544}