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:

2 0^{2} = (a / 2)^{2} + (2 a / 2)^{2} - 1.25 a^{2} + 400 = 0 1.25 a^{2} - 400 = 0 a_{1, 2} = \pm 400 / 1.25 = \pm 17.88854382 a_{1} = 17.88854382 a_{2} = - 17.88854382

Solution in text:

-1.25a²+400=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 2000
D > 0 ... The equation has two distinct real roots

a₁ = 17.8885438
a₂ = -17.8885438

P = {17.8885438; -17.8885438}