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:

Solution in text:

-3.0833333331393w²+3899.9999999797=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 48099.999996723
D > 0 ... The equation has two distinct real roots

w₁ = 35.5649387
w₂ = -35.5649387

P = {35.5649387; -35.5649387}