1. The number $x$ satisfies $x^{2}-4 x+2=0$. What is the value of $x+\frac{2}{x}$ ?
SolUtion
004

As $x \neq 0$ we may divide $x^{2}-4 x+2=0$ by $x$ to give $x-4+\frac{2}{x}=0$, and then $x+\frac{2}{x}=4$.