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2006 AMC 10B Question 7

AMC10 · 2006 AMC 10B

Question 7

Which of the following is equivalent to

$$
\sqrt{\dfrac{x}{1-\dfrac{x-1}{x}}}
$$

when $x \lt 0?$
  1. $-x$
  2. $x$
  3. $1$
  4. $\sqrt{\dfrac{x}{2}}$
  5. $x\sqrt{-1}$