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1963 AMC 12 Question 28

AMC12 · 1963 AMC 12

Question 28

Given the equation $3x^2-4x+k=0$ with real roots. The value of $k$ for which the product of the roots of the equation is a maximum is:
  1. $\dfrac{16}{9}$
  2. $\dfrac{16}{3}$
  3. $\dfrac49$
  4. $\dfrac43$
  5. $-\dfrac43$