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:

-2a²-24a+48=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 960
D > 0 ... The equation has two distinct real roots

a₁ = 1.7459667
a₂ = -13.7459667

P = {1.7459667; -13.7459667}