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SMO 2005 Junior Round 1 Question 6

SMO · SMO 2005 Junior Round 1

Question 6

The values of $p$ which satisfy the equations
$$p^2+9q^2+3p-pq=30,\qquad p-5q-8=0$$
may be found by solving which equation?
  1. $x^2-x-6=0$
  2. $13x^2-121x-426=0$
  3. $29x^2-101x-174=0$
  4. $29x^2+115x-1326=0$
  5. $39x^2-104x-174=0$