Question 8.

Let A be a real number. Then the roots of the equation $x^2 - 4x - log_{2}{A} = 0$ are real and distinct if and only if

A

A \gt \frac{1}{16}

B

A \lt \frac{1}{16}

C

A \lt \frac{1}{8}

D

A \gt \frac{1}{8}

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Text Explanation

The roots of $x^2 - 4x - log_{2}{A} = 0$ will be real and distinct if and only if the discriminant is greater than zero

16+4* $log_{2}{A}$ > 0

$log_{2}{A}$ > -4

A> 1/16

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