The sum of a number and its reciprocal is 5/2 represent this situation in the form of quadratic equation

Question

Please answer this question I'm very confused

Answer 1

x + 1/x = 5/2

multiply all by 2x to get

2x^2 +2 = 5x

o

= 2x^2 -5x + 2 = 0

factor

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

x = 2, or 1/2