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:

x^{2} = 27 x^{2} - 27 = 0 x_{1, 2} = \pm 27 = \pm 5.196152423 x_{1} = 5.196152423 x_{2} = - 5.196152423

Solution in text:

x²-27=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 108
D > 0 ... The equation has two distinct real roots

x₁ = 5.1961524
x₂ = -5.1961524

P = {5.1961524; -5.1961524}