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2000 AMC 10 Question 15

AMC10 · 2000 AMC 10

Question 15

Two non-zero real numbers, $a$ and $b,$ satisfy $ab = a - b.$ Find a possible value of $$
\dfrac{a}{b} + \dfrac{b}{a} - ab.
$$
  1. $-2$
  2. $-\dfrac12$
  3. $\dfrac13$
  4. $\dfrac12$
  5. $2$