Let \( \alpha, \beta \) be the roots of \( x^{2}+b x+1=0 \). Then the equation whose roots are \...
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Let \( \alpha, \beta \) be the roots of \( x^{2}+b x+1=0 \). Then the equation whose roots are \( -\left(\alpha+\frac{1}{\beta}\right) \) and \( -\left(\beta+\frac{1}{\alpha}\right) \) is
(A) \( x^{2}-2 b x+4=0 \)
(B) \( x^{2}-b x+1=0 \)
(C) \( x^{2}=0 \)
(D) \( x^{2}+2 b x+4=0 \)
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