# What is x in x^2018+1/x=x^2017+1 equal to?

$x = 1$
There's no real reason to do the full math here to simplify - it's more of a critical thinking problem. The only obvious answer that satisfies the equation is $1$, because $\frac{1}{1} = 1$ and ${1}^{n}$ where $n$ is any number is equal to $1$. To check, we can input these values:
${\left(1\right)}^{2018} + \frac{1}{1} = {\left(1\right)}^{2017} + 1$
$1 + 1 = 1 + 1$, so $x = 1$.