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SMO 2019 Senior Round 1 Question 1

SMO · SMO 2019 Senior Round 1

Question 1

The roots of the quadratic equation $x^2-7mx+5n=0$ are $m$ and $n$, where $m\ne0$ and $n\ne0$. Find a quadratic equation whose roots are $\frac mn$ and $\frac nm$.
  1. $6x^2-37x+1=0$
  2. $6x^2-50x-7=0$
  3. $6x^2-50x+7=0$
  4. $6x^2-37x+6=0$
  5. $x^2-37x+1=0$