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:

1 5^{2} = 1 8^{2} - y^{2} y^{2} - 99 = 0 y_{1, 2} = \pm 99 = \pm 9.949874371 y_{1} = 9.949874371 y_{2} = - 9.949874371

Solution in text:

y²-99=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 396
D > 0 ... The equation has two distinct real roots

y₁ = 9.9498744
y₂ = -9.9498744

P = {9.9498744; -9.9498744}