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1963 AMC 12 Question 40

AMC12 · 1963 AMC 12

Question 40

If $x$ is a number satisfying the equation $\sqrt[3]{x+9}-\sqrt[3]{x-9}=3,$ then $x^2$ is between:
  1. $55$ and $65$
  2. $65$ and $75$
  3. $75$ and $85$
  4. $85$ and $95$
  5. $95$ and $105$