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2006 AMC 10BProblem 7P1-10~2 minPrint
Exponents, Logarithms & RadicalsAlgebraic ManipulationSet up the equation/formula and compute; no special trick neededTest small/specific values or special cases to find or verify the answer

Which of the following is equivalent to x1−x−1x\sqrt{\frac{x}{1-\frac{x-1}{x}}} when x<0x < 0 ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.