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 🙂
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).
Abacus Noir 