Quadratic word problem:

A number minus 8 times its reciprocal equals 2. What is the number? (There may be more than one answer)

Let x be the number.

so we have x-8/x = 2. by multiply x on both sides to no x in the denominator.

so, x^2-2x-8=0 by factoring we have (x-4) * (x+2)

either x=4 or x = - 2 by substituting x=4 is the number.

the answer is 4.

hope that answers your question.