fsolve bug?

[John Colvin]

Using fsolve to find the roots of the equation: x + 4.5sin(x) = 5, I can get the
two roots [1.0645, 6.0481], but I am unable to get the third root 2.5716 no
matter how close a guess I set x to.

For example, if I enter fsolve(x+4.5sin(x) = 5, x = 2.5716), I get 1.0645 as the
root. Is there a way to solve this equation for all of its roots in CAS mode?
fsolve should do it.