Ok, so I have a bit of a quandry. I was trying to find the x-intercept(s) of y = x + [4/(x^2 + 1)]. After setting y = 0, I get the equation -4 = x(x^2 + 1). That's where the problem sets in. I suddenly realized that I have no idea how to solve this. Does anybody else have an idea? I can put the equation in a calculator and get a good approximation, but I'd like a conceptual way of getting at the solution if possible, as I'm now really interested in this problem.
Thanks so much!