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:

5 x * 2 x + 2 * 4 x * (5 x + 2 x) = 66.09 66 x^{2} - 66.09 = 0 x_{1, 2} = \pm 66.09 / 66 = \pm 1.000681586 x_{1} = 1.000681586 x_{2} = - 1.000681586

Solution in text:

66x²-66.09=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 17447.76
D > 0 ... The equation has two distinct real roots

x₁ = 1.0006816
x₂ = -1.0006816

P = {1.0006816; -1.0006816}