Word Problems with Quadratic Inequalities

Chris will give Sameer germs. Sameer does a positive number $x$ of pushups and Chris gives him $x^2-6x+5$ germs (if $x^2 - 6x + 5 < 0$, then Chris gives no germs). What number should Sameer pick in order to not get any germs, while doing as few pushups as possible?