Answer:
The answer would be 2 +/- √-2
Step-by-step explanation:
In order to complete the square, we have to start by getting all of the constants to the right side.
k^2 - 4k + 1 = -5
k^2 - 4k = -6
Now we need to take the k coefficient (-4) and cut it in half (-2). Now we square that number (4) and add it to both sides
k^2 - 4k + 4 = -6 + 4
k^2 - 4k + 4 = -2
Now we can factor the left side and solve.
(k - 2)^2 = -2 ----> take the square root of both sides
k - 2 = +/- √-2
k = 2 +/- √-2
