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For a quadratic equation to have real and distinct roots, it’s discriminant should be strictly greater than zero.

$\therefore$   $b^{2}-4ac\gt0$

$\Rightarrow$  $16-4(-\log_{2}A)\gt0$   $\Rightarrow$   $\log_{2}A\gt-4$   $\Rightarrow$   $A\gt \frac{1}{16}$

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