Does anyone know how to go about solving y^3+x^3=3xy explicitly for y?

Question

Does anyone know how to go about solving y^3+x^3=3xy  explicitly for y?

anonymous · Answer

x = 2^(2/3),   y = -((1+i sqrt(3)) x)/(2^(2/3) (sqrt(x^6-4 x^3)-x^3)^(1/3))-((1-i sqrt(3)) (sqrt(x^6-4 x^3)-x^3)^(1/3))/(2 2^(1/3))

saifoo.khan · Answer

let's solve it for 3.

turingtest · Answer

anonymous · Answer

what math is this? cal 1?

turingtest · Answer

No this is some crazy Algebra question that probably doesn't need to answered this way.

anonymous · Answer

thats an awesome site

anonymous · Answer

redrum419 is this cal 1 or Algebra?

anonymous · Answer

cal 1, I know you can solve implicitly. I was just wondering how you would go about solving it explicitly.

turingtest · Answer

Well wolfram doesn't seem to know "how" to do it either. It just gives the answer.