1 1 vote 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 $A> \frac{1}{16}$ $A> \frac{1}{8}$ $A< \frac{1}{16}$ $A< \frac{1}{8}$ Quantitative Aptitude cat2019-2 quantitative-aptitude quadratic-equations + – go_editor 14.2k points 1.4k views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
1 1 vote Ans should be an option (A) For a quadratic equation to have real and distinct roots, it’s discriminant should be strictly greater than zero. $\therefore$ $b^{2}-4ac\gt0$ $\Rightarrow$ $16-4(-\log_{2}A)\gt0$ $\Rightarrow$ $\log_{2}A\gt-4$ $\Rightarrow$ $A\gt \frac{1}{16}$ haralk10 answered Apr 24, 2021 haralk10 838 points comment Share Follow 0 reply Please log in or register to add a comment.