The Hanging Chain

For fun, I am remaking the first "serious" script I ever made: Click two places and it makes a bridge between them.  Only this time, It's going to be a suspension bridge that's calculated to be exactly correct, and anchored.  After some searching, I found that a chain at rest follows the path of a catenary.  I've formulated a system of equations that have a solution, but wolfram can't solve them.  The equations are in two dimensions because the chain is contained in a vertical plane.

(x_0,y_0)=Point A
(x_1,y_1)=Point B
l=Length of bridge (Must be > distance(A,B) for real solutions)

Solve for r_0 and r_1:

(cosh(r_1)-cosh(r_0))/(r_1-r_0)=(y_1-y_0)/(x_1-x_0)
(sinh(r_1)-sinh(r_0))*sqrt(((y_1-y_0)^2+(x_1-x_0)^2)/((cosh(r_1)-cosh(r_0))^2+(r_1-r_0)^2))=l

r_0 and r_1 depend on eachother, so I'd only have to find one.  This is great news for a guessing function.

I'll make a guessing function like I did for my sentry at first, but I want to solve this eventually! c: