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SMO 2006 Senior Round 1 Question 5

SMO · SMO 2006 Senior Round 1

Question 5

Consider the two curves $y=2x^3+6x+1$ and $y=-\dfrac3{x^2}$ in the Cartesian plane. Find the number of distinct points at which these two curves intersect.
  1. $1$
  2. $2$
  3. $3$
  4. $0$
  5. $5$