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LetΩ(∪)RN be a smooth bounded domain such that 0 ∈Ω, N ≥ 5, 2* := 2N/N-4 is the critical Sobolev exponent, and f(x) is a given function. By using the variational methods,the paper proves the existence of solutions for the singular critical in the homogeneous problem △-μu/|x|4 = |u|2* -2u + f(x) with Dirichlet boundary condition on (e)Ω under some assumptions on f(x) and μ.