If b gt a, then the equation (x-a)(x-b)-...

If `b gt a`, then the equation `(x-a)(x-b)-1=0`, has

both roots in `(- infty, a)`

both roots in (a,b]

one root in `(-infty, a)` and other root in `(b , infty)`

one root in `(- infty, a)` and other root in [a,b]

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