If \( \alpha, \beta \) are the roots of the equation \( a x^{2}+b x+c \) \( =0 \), then the root...

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If \( \alpha, \beta \) are the roots of the equation \( a x^{2}+b x+c \) \( =0 \), then the roots of the equation \( a(2 x+1)^{2}+b(2 x+1)(x-1)+c(x-1)^{2}=0 \) are
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