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:

5 - x^{2} = 0 - x^{2} + 5 = 0 x^{2} - 5 = 0 x_{1, 2} = \pm 5 = \pm 2.236067977 x_{1} = 2.236067977 x_{2} = - 2.236067977

Solution in text:

-x²+5=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 20
D > 0 ... The equation has two distinct real roots

x₁ = 2.236068
x₂ = -2.236068

P = {2.236068; -2.236068}