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SMO 2015 Junior Round 1 Question 10

SMO · SMO 2015 Junior Round 1

Question 10

If $x$ and $y$ satisfy the equation $2x^2+3y^2=4x$, the maximum value of $10x+6y^2$ is
  1. 2
  2. $\frac92$
  3. 20
  4. $\frac{81}4$
  5. None of the above