I have a task of visualizing few implicit functions. Firstly lets say I have the following function of $N$:
$$\epsilon = \sqrt{\frac{8}{N}\ln \left( \frac{4(2N)^{50}}{0.05} \right)}$$
Now this is very easy to visualize, just insert some values of $N$ from some range to get corresponding $\epsilon$. But what about in this case:
$$\epsilon = \sqrt{\frac{1}{2N}\left( 4\epsilon(1+\epsilon ) + \ln\left(\frac{4(N^2)^{50}}{0.05}\right) \right)}$$
How do I visualize this function? Do I simply need to firstly, pick some value for $N$ and then see which value of $\epsilon $ satisfies the equality? And then I repeat this process for some range of $N$ values?
Thank you for any help =)