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.

1 Answer
Jul 4, 2018

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).