Func

# Fun3__   111
def cubic_root(a, b, c, d):
    """
    Find the roots of a cubic equation of the form ax^3 + bx^2 + cx + d = 0.

    Parameters:
    - a, b, c, d: Coefficients of the cubic equation.

    Returns:
    - roots: List containing the roots of the equation.
    """

    # Calculate the discriminant and other coefficients
    delta0 = b**2 - 3 * a * c
    delta1 = 2 * b**3 - 9 * a * b * c + 27 * a**2 * d
    C = ((delta1 + (delta1**2 - 4 * delta0**3)**0.5) / 2)**(1/3)

    # Calculate the roots
    root1 = -1 / (3 * a) * (b + C + delta0/C)
    root2 = -1 / (3 * a) * (b + (complex(-0.5, 3**0.5 / 2) * C) + delta0 / (complex(-0.5, 3**0.5 / 2) * C))
    root3 = -1 / (3 * a) * (b + (complex(-0.5, -3**0.5 / 2) * C) + delta0 / (complex(-0.5, -3**0.5 / 2) * C))

    return [root1, root2, root3]

# Example usage:
if __name__ == "__main__":
    # Example coefficients of the cubic equation ax^3 + bx^2 + cx + d = 0
    a = 1
    b = -6
    c = 11
    d = -6

    # Find the roots
    roots = cubic_root(a, b, c, d)

    # Print the result
    print(f"Roots: {roots}")