A number plus 16 times its reciprocal equals 4. Find all possible values for the number.(My question was not answered correctly for this time I earnestly beg for someone to give the steps and a proper answer.)

Aflagpole broke in a storm. it was originally 8 1 81 feet tall. 2 8 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. how far away is the end of the pole from the base of the pole along the ground?