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:

-a²+20a+40=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 560
D > 0 ... The equation has two distinct real roots

a₁ = 21.8321596
a₂ = -1.8321596

P = {21.8321596; -1.8321596}