The difference between a number and it*

Question

The difference between a number and its reciprocal is 3/2. Find the number

Answer 1

x - 1/x = 3/2

multiply by x

x^2 - 1 = (3/2)x

x^2 - (3/2) x -1 = 0

multiply by 2

2x^2 - 3x - 2 = 0

(2x + 1)(x - 2) = 0

x = 2

x = -1/2