Question

Solve `x + 1/x = 2.5`

Answer 1

`x + 1/x = 2.5`

`=> (x^2 + 1)/x = 5/2`

`=> 2x^2 + 2 = 5x` 

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

`=> 2x^2 - 4x - x + 2 = 0`

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

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

Since x - 2 = 0 or 2x - 1 = 0

then x= 2 or x = 1/2