Solving Equations with Python

[japrap]

Hello Everyone,

I am new to python and I was wondering if we can solve the following equation with python using numpy/scipy libraries:

x = np.arange(4,12,.01)
y = np.arange(0,18,.01)
k = 10/(6+x)

x = ((y**(1/k)-(y-6)**(1/k))/6)**(k/(1-k))

I tried numpy.roots but unfortunately it seems that for this type of equation using numpy.roots is inappropriate. So I was wondering if you guys have any idea to help me to find roots of this equation.