Higher algebra problem -1
Algebra
Level
3
The equation \(x^{2} + bx + c =0\) 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 \(b^{2}+c^{2}\)?
Note that \(b,c\) are real numbers.
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by
Sandeep Bhardwaj