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:

3x²-6=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 72
D > 0 ... The equation has two distinct real roots

x₁ = 1.4142136
x₂ = -1.4142136

P = {1.4142136; -1.4142136}