The resolvent energy of a graph G of order n is defined as ER(G) = Σni =1(n-λi)-1, where λ1≥λ2 … λn are the eigenvalues of G. Lower and upper bounds for the resolvent energy of a graph, which depend on some of the parameters n, λ1,λn, det((A(n)) = ( n i=1 1 n-λi, are obtained.