Quadratic equation calculator

Quadratic equation has the basic form: $a{x}^2+bx+c=0$
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:

-n²+19n+92=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 729
D > 0 ... The equation has two distinct real roots

n₁ = 23
n₂ = -4

P = {23; -4}