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Let A be a real number. Then the roots of the equation x^2 - 4x - log2A = 0 are real and distinct if and only if
Let A be a real number. Then the roots of the equation x2 - 4x - log2A = 0 are real and distinct if and only if
- A < 1/16
- A > 1/8
- A > 1/16
- A < 1/8
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For roots of any Quadratic equation to be real and distinct, D > 0
So, for x2 − 4x - log2 A = 0,
D = (-4)2 - (4 x 1 x (- log2 A)) > 0
16 + 4 log2 A> 0
4 + log2 A> 0
log2 A> -4
A > 1/24
A > 1/16
Therefore option 3
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