Find all the values of k where the solution set to the equation |2x - k| -x = 3 is {1, 9}.

Answer 1

If x = 1, then l 2 - k l = 4.

So, 2 - k = ±4. k = 6, -2

If x = 9, then l 18 - k l = 12

So, 18 - k = ±12 k = 6, 30

Possible values of k: -2, 6, 30