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1972 AMC 12 Question 3

AMC12 · 1972 AMC 12

Question 3

If $x=\dfrac{1-i\sqrt3}{2},$ where $i=\sqrt{-1},$ then $\dfrac{1}{x^2-x}$ is equal to:
  1. $-2$
  2. $-1$
  3. $1+i\sqrt3$
  4. $1$
  5. $2$