\( ba \), then the equation \( (x-a)(x-b)-1=0 \) (A) both roots in \( [a, b] \) (B) both roots i...

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\( ba \), then the equation \( (x-a)(x-b)-1=0 \)
(A) both roots in \( [a, b] \)
(B) both roots in \( (-\infty, a) \)
(C) roots in \( (-\infty, a) \) and other in \( (0, \infty) \)
(D) both roots in \( (b, x) \)
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