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Australian AMC 2014 - Senior Question 14

AMC AUSTRALIA · Australian AMC 2014 - Senior

Question 14

If $(x-a)/(x-b)=(x-b)/(x-a)$ and $a\ne b$, what is $x$?
  1. $(a-b)/2$
  2. $(a^2+b^2)/(a+b)$
  3. $(a^2+b^2)/(2(a+b))$
  4. $a+b$
  5. $(a+b)/2$