If \( \alpha, \beta \) are the roots of \( a x^{2}+c=b x \), then the equation \( (a+c y)^{2}=b^...

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If \( \alpha, \beta \) are the roots of \( a x^{2}+c=b x \), then the equation \( (a+c y)^{2}=b^{2} y \) in \( y \) has the roots
(A) \( \alpha \beta^{-1}, \alpha^{-1} \beta \)
(B) \( \alpha^{-2}, \beta^{-2} \)
(C) \( \alpha^{-1}, \beta^{-1} \)
(D) \( \alpha^{2}, \beta^{2} \)
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