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:

-2x²-13x+5=0 ... quadratic equation

Discriminant:
D = b² - 4ac = 209
D > 0 ... The equation has two distinct real roots

x₁ = 0.3642081
x₂ = -6.8642081

P = {0.3642081; -6.8642081}