title: Find root of implicit function in Python
body: <p>I have an implicit function, for example:</p>
  
  <pre><code>f(x,y) = x**y + y**y - 3*x
  </code></pre>
  
  <p>I want to solve the root on a meshgrid. So f(x,y) = 0</p>
  
  <p>Drawing the solution is easy:</p>
  
  <pre><code>x = linspace(-2,2,11)
  y = linspace(-2,2,11)
  (X,Y) = meshgrid(x,y)
  
  A = X**Y + Y**Y - 3*X
  contour(X,Y,A,0)
  </code></pre>
  
  <p>This works great, I have a drawing of the curve I need, however I would like to have the data that is in the plot and not only the visual plot. So how do I find the data of the plot?</p>