You say the tack strip is exposed??
I believe I'd go ahead and peel the carpet back and get rid of that tack strip. If the carpet is still long enough to meet the laminated flooring, You might try a J moulding. It lays on the floor with a lip that sticks up and a built-in tackstrip. You nail it down with the lip against the laminate. Then push the carpet into the tack strip and against the lip. Then pound the lip down with a rubber mallet. The lip pinches the carpet down to the tack strip. The tack strip on the J moulding doesn't have regular tacks sticking up. They are just high enough to grip the carpet, not enough enough to stick through the carpet, so you're feet would be safe.
If the carpet has shrunk too much, you may have to have a pro to come and re-stretch the carpet. OR, you can rent a stretcher,,be careful not to rip the carpet.
Tom in KY, me no likey bleedy feety.