- #1

- 98

- 2

arccos(Y) = arctan(Y), where Y = 1/x

This turns into a quartic equation:

x

^{4}- x

^{2}- 1 = 0

It looks simple enough to simplify further; however, I must be having a brain-fart because I can't do it. I'd like to avoid resorting to a numerical solution.

Am I overlooking something?

Can this equation be simplified further? If so, how?

Any help is much appreciated.