Respuesta :

Answer:

k =  4 + 5.10i ,  4 - 5.10i

Step-by-step explanation:

8k - k^2 = 42

k^2 - 8k + 42 = 0

Completing the square:-

(k - 4)^2 - 16 +42 = 0

(k - 4)^2 = -26

k- 4 = +/-sqrt26

k = 4 + sqrt26 or 4 - sqrt26

k =  4 + 5.10i ,  4 - 5.10i