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The equation x2+bx+c=0x^{2} + bx + c =0x2+bx+c=0 has distinct roots. If 2 is subtracted from each roots, the results are the reciprocal of the original roots. Then what is the value of b2+c2b^{2}+c^{2}b2+c2?
Note that b,cb,cb,c are real numbers.
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