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:

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

Solution in text:

x²-1=0 ... b=0; pure quadratic equation

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

x₁ = 1
x₂ = -1

P = {1; -1}