hyperbola (1 Viewer)

[filosophy]

can u guys help me with this?

trying to find the x intercept of
y=12.5[1-(1+x)^-5]/x + 100(1+x)^-5 - 96.5

i've reached this far, asymptotes at y=-96.5 and x=0 and drawing should look like a hyperbola with 1 x intercept. just need to know how to solve for it and what it is.

 

[BlackJack]

Asymptotes at x = -1, so it's not just a hyperbola... will edit in a while to find intercepts.

EDIT: does NOT appear to asymptote at x = 0....

Has positive x and y intercepts. x=0 does not diverge ecause of the way (0)/(0) will cancel out to some constant value. This y-intercept appears graphically to be 66.15 +- 0.05. x-intercept ~0.135...