Find real numbers A,B,C,D and E that satisfy this system of equations:
(A-B+C)2 = B(D+E-B), and:
(B-C+D)2 = C(E+A-C), and:
(C-D+E)2 = D(A+B-D), and:
(D-E+A)2 = E(B+C-E), and:
(E-A+B)2 = A(C+D-A)
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