Question

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

Answer 1

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))

Answer 2

let's solve it for 3.

Answer 3

http://www.wolframalpha.com/input/?i=solve+for+y%3A+y^3%2Bx^3%3D3xy

Answer 4

what math is this? cal 1?

Answer 5

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

Answer 6

thats an awesome site

Answer 7

redrum419 is this cal 1 or Algebra?

Answer 8

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

Answer 9

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