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:

h²-4h+20=0 ... quadratic equation

Discriminant:
D = b² - 4ac = -64
D < 0 ... The equation has two distinct complex roots

h₁ = 2+4i
h₂ = 2-4i

P = {2+4i; 2-4i}