Reciprocal question of the day- confused

Question

The sum of a positive number and 24 is 300 times the reciprocal of the number. find the number

Answer 1

x + 24 = 300(1/x)

x² + 24x = 300

x² + 24x - 300 = 0

Using the quadratic formula, I get (with roundoff)

x = 9.07 or -33.07

Since x must be positive, the final answer is

x = 9.07