Find real numbers A,B,C,D and E that satisfy this system of equations:
(AB+C)^{2} = B(D+EB), and:
(BC+D)^{2} = C(E+AC), and:
(CD+E)^{2} = D(A+BD), and:
(DE+A)^{2} = E(B+CE), and:
(EA+B)^{2} = A(C+DA)


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