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1977 AMC 12 Question 23

AMC12 · 1977 AMC 12

Question 23

If the solutions of the equation $x^2+px+q=0$ are the cubes of the solutions of the equation $x^2+mx+n=0,$ then
  1. $p=m^3+3mn$
  2. $p=m^3-3mn$
  3. $p+q=m^3$
  4. $\left(\frac mn\right)^3=\frac pq$
  5. none of these