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:

(11340 - 1000) = (b * 2700 / 11340) * (2700 - 1000) * b - 404.7619047619 b^{2} + 10340 = 0 404.7619047619 b^{2} - 10340 = 0 b_{1, 2} = \pm 10340 / 404.7619047619 = \pm 5.054293457 b_{1} = 5.054293457 b_{2} = - 5.054293457

Solution in text:

-404.7619047619b²+10340=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 16740952.380952
D > 0 ... The equation has two distinct real roots

b₁ = 5.0542935
b₂ = -5.0542935

P = {5.0542935; -5.0542935}