The roots of the equation $x^2-4 x-\log _2 A=0$ are real and distinct, where $A$ is a real number, i

Question

The roots of the equation $x^2-4 x-\log _2 A=0$ are real and distinct, where $A$ is a real number, if

Professor PC Thomas Classes · Answer

Real distinct roots necessitate Discriminant $>0 \Rightarrow 16 + 4\log_2 A > 0 \Rightarrow A > 2^{-4} \Rightarrow A > 1/16$.