Quadratic equation calculator

Quadratic equation has the basic form:

a x^{2} + b x + 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:

1 2^{2} = 3^{2} + 9^{2} + u^{2} - u^{2} + 54 = 0 u^{2} - 54 = 0 u_{1, 2} = \pm 54 = \pm 7.348469228 u_{1} = 7.348469228 u_{2} = - 7.348469228

Solution in text:

-u²+54=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 216
D > 0 ... The equation has two distinct real roots

u₁ = 7.3484692
u₂ = -7.3484692

P = {7.3484692; -7.3484692}