Question

If $|ln|x||=|k-1|-4$ has exactly two distinct real roots for $x\in R-\left\{0\right\}$, then the sum of all possible integral values of k is

• A. -5
• B. -3
• C. 2
• D. Infinite

Answer 1

The correct option is C 2


For two distinct solutions, |k-1|-4 = 0
|k-1| =4
k = 5, -3
sum = 5 - 3 = 2