You can try setting up the your function in a single function file, adding up F(1) and F(2) to say G and try minimizing G with something like fminsearch which uses an nelder mead simplex algorithm, not requiring jacobians or hessians...
If you have the optimization toolbox, there are a bunch of other functions in there they may work. Of course if you want to try brute force, fsolve is something you can play with as well
