Question

How do you solve `1/x + 1 = x/2`?

Answer 1

`x_1=1+i` or `x_2=1-i`

Explanation:

It must be `x` not equal to zero, then we multiply by `x`
getting
`1+x=x^2/2`
multipling by `2` and rearranging we have
`0=x^2-2x+2`
using the quadratic formula we get
`x_{1,2}=1\pm sqrt(-1)` so
`x_1=1+i`
`x_2=1-i`