Then Jesus said to the army boss, “You can go back home now. You are trusting me to make your work-man better, so I am doing it.” And right then, at that same time, that army boss’s work-man got better. (We have not yet translated 8:14-17. You can read that story in Mark 1:29-34.)
The man worked out that it was at that same time that Jesus said, “Your son will get better.” So the man, and his family, and everyone that lived in his house, they all believed in Jesus.