Cubic Equation Cardano solution

[Jean-Louis]

Homework Statement

To solve the following equation
3x^3 + x^2 + 15x + 27 = 0

Homework Equations

The Attempt at a Solution

{(x-> 1/9{-1 - 134/(-3079+27Sqrt.(16305)^(1/2) + (-3079+27Sqrt.(16305)^(1/3)}

{x-> -1/9 + 67(1+iSqrt.3)/9(-3079+27Sqrt.(16305)^(1/2) -1/18 (1-iSqrt.3)(-3079+27Sqrt.(16305)^(1/2)}

Is this correct ?

{x-> -1/9 + 67(1-iSqrt.3)/9(-3079+27Sqrt.(16305)^(1/2) - 1/18 (1+iSqrt.3)(-3079+27Sqrt.(16305)^(1/2)}

 

[Kummer]

I actually mastered the cubic solution.
I used this site.
The methods of Cardano/Tartaglia are trully beautifully derived.