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2000 AMC 12 Question 11

AMC12 · 2000 AMC 12

Question 11

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