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1978 AMC 12 Question 14

AMC12 · 1978 AMC 12

Question 14

If an integer $n,$ greater than $8,$ is a solution of the equation $x^2-ax+b=0$ and the representation of $a$ in the base $n$ numeration system is $18,$ then the base $n$ representation of $b$ is
  1. $18$
  2. $20$
  3. $80$
  4. $81$
  5. $280$