Came across this bit of high-school math with series/roots:

It’s straightforward, lots of paper-and-pen solutions in that thread.

Something like Wolfram Mathematica makes it *much *easier:

The above shows a “*sanity-checking*” approximate solution with one term, followed by the correct solution.

It’s equally straightforward, spent 5-10 minutes to let off steam at the end of the day π

Incidentally, *WolframAlpha* is able to get you the basic series solution too:

So, we’re really *drowning in resources* right now (which is balanced, I suppose by drowning even harder in distractions).