Consider two numbers whose arithmetic mean is $9$ and geometric mean is $4$. These numbers are the roots of which quadratic equation?

  • A
    $x^2 + 18x - 16 = 0$
  • B
    $x^2 - 18x + 16 = 0$
  • C
    $x^2 + 18x + 16 = 0$
  • D
    $x^2 - 18x - 16 = 0$

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