Relationships and also proportions

Question

The sum of a number and it’s reciprocal is equal to the opposite of the product of the number and it’s reciprocal. Find the number

Answer 1

n represents the number

n + 1/n = -(n)(1/n)

n + 1/n = -1

n² + 1 = -n

n² + n + 1 = 0

Use the Quadratic Formula to determine n (it is complex!)