Quadratic Equation Calculator

A quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the coefficients a, b, and c of the quadratic equation in its basic standardized form. The solution of a quadratic equation usually consists of two distinct real or complex roots, or one double root — calculated 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}