Can fixed point iteration be used to find the fixed points of g(x) = x^2 + x - 4? Solution I dont think that the fixed point iteration will work for any thing other than the root. The method never converges After 2 iterations one goes away from the answer Thats what i see when i use it on my calculator Here is some resource on it http://home.iitk.ac.in/~psraj/mth101/lecture_notes/lecture8.pdf It has some condition when the method converges.