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:

4a²-256a+1024=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 49152
D > 0 ... The equation has two distinct real roots

a₁ = 59.7128129
a₂ = 4.2871871

P = {59.7128129; 4.2871871}