Question

2/x + x/18 What is x? It would also be appreciated if I could have the working out as I have a couple more like questions I wish to know how to solve myself.

Answer 1

The question doesn't give an equation. We solve it as if it did.

Explanation:

As given, this isn't an equation - it needs an equals sign to define a situation where `x` can be deduced.

Let's assume that you meant `2/x+x/18=n`, where `n` is some constant.

Multiply by `x`:
`2/x+x/18=n`
`2+x^2/18=nx`
Rearrange into the usual quadratic form:
`x^2-18nx+36=0`

Apply the quadratic formula:
`x=1/2(18n+-sqrt(324n^2-144))`
`x=9n+-sqrt(81n^2-36)`

If `n=0`, then
`x=+-sqrt(-36)=+-6i`, where `i=sqrt(-1)`.