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SMO 2008 Senior Round 1 Question 10

SMO · SMO 2008 Senior Round 1

Question 10

Find the minimum of $(a+b)\left(\frac1a+\frac4b\right)$, where $a,b$ range over all positive real numbers.
  1. $3$
  2. $6$
  3. $9$
  4. $12$
  5. $18$