Find root of implicit function in Mathematica

Question

Find root of implicit function in Mathematica

I have an implicit function, for example:

f(x,y) = x^3 + x*y + y^2 - 36

I want to find the

Answer 1

I would encourage you to explore the documentation on equation solving and particularly the Solve and NSolve functions.

EDIT

p = ContourPlot[x^3 + x*y + y^2 - 36 == 0, {x, -2 Pi, 2 Pi}, {y, -3 Pi, 3 Pi}]
p //InputForm

Copy and paste the bit you need.

Alternatively, and in my view a better solution to your actual problem.

sol = Solve[x^3 + x*y + y^2 - 36 == 0,{x}][[1]] 

You might need some options to get the right solution.

Table[{x/. sol,y},{y, -3 Pi, 3 Pi, 0.02}]