How do I change this parametric equation: $x=t+1/t, y=t^2 + 1/t^2$ into a Cartesian equation? I've just started parametric equations on my own &amp; I am a bit confused on how to convert this parametric equation into a Cartesian equation.

$$\begin{array}{rcl}
x=t + \frac{1}{t}, 
y= t^{2} + \frac{1}{t^{2}}
\end{array}\qquad$$
Hint: compute $x^2$ and subtract $y$
$$\begin{align}
x&amp;=t+1/t\\        
xt-t&amp;=1 \\    
   t(x-1)&amp;=1\\
 \\                     
t&amp;=1/(x-1)\\
 \\   
y&amp;=t^2+1/t^2\\
\\
y&amp;=1/(x-1)^2 + (x-1)^2
\end{align}$$