Cubic Equation Solver

This calculator will find the values of x1, x2, and x3 for a given cubic equation with the following form:
ax3 + bx2 + cx + d = 0
Simply enter the values for a, b, c, and d below and then click the “Calculate” button.

x1: -0.72932

x2: -0.03534 + i * 0.73973

x3: -0.03534 – i * 0.73973


Explanation:

f = ((3c/a) – (b2/a2)) / 3 = 0.38667

g = (((2b3)/(a3)) – (9bc/a2) + (27d/a)) / 27 = 0.27793

h = (g2/4) + (f3/27) = 0.02145

R = (-g/2) + h1/2 = 0.00750

S = R1/3 = 0.19576

T = (-g/2) – h1/2 = -0.28543

U = T1/3 = -0.65841

x1 = (S+U) – (b/3a) = -0.72932

x2 = -(S+U)/2 – (b/3a) + i*(S-U)*(3)1/2/2 = -0.03534 + i * 0.73973

x3 = -(S+U)/2 – (b/3a) – i*(S-U)*(3)1/2/2 = -0.03534 – i * 0.73973

Leave a Reply

Your email address will not be published. Required fields are marked *