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2007 AMC 10A Question 2

AMC10 · 2007 AMC 10A

Question 2

Define $a@b = ab - b^2$ and $a\#b = a + b - ab^2.$ What is $$
\dfrac{6@2}{6\#2}?
$$
  1. $-\dfrac{1}{2}$
  2. $-\dfrac{1}{4}$
  3. $\dfrac{1}{8}$
  4. $\dfrac{1}{4}$
  5. $\dfrac{1}{2}$