9514 1404 393
Answer:
k = 1
Explanation:
If k is a root, then substituting it for x will satisfy the equation.
k² -(k +2)k +4 = 2
k² -k² -2k +4 = 2
-2k = -2 . . . . . . . . . subtract 4, simplify
k = 1 . . . . . . . . divide by -2
The value of k that will make k a root of the equation is k = 1.