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:

-20k²+10k=0 ... c=0; quadratic equation without constant term

Discriminant:
D = b² - 4ac = 100
D > 0 ... The equation has two distinct real roots

k₁ = 0.5
k₂ = 0

P = {0.5; 0}