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

Solution

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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