# 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 & I am a bit confused on how to convert this parametric equation into a Cartesian equation.

$$\begin{array}{rcl} x=t + \frac{1}{t}, y= t^{2} + \frac{1}{t^{2}} \end{array}\qquad$$

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Add and subtract 2, $y = \left(t+\frac1t\right)^2 - 2$. –  Ishaan Singh Apr 15 '12 at 11:51
@IshaanSingh Please write those comments that answer a question as answer unless you think that the OP might have had something non-trivial to ask but turned out to be trivial because of a typo or other reasons why you think a comment is better than an answer. Here, I don't see any such--please correct me if I am wrong. Regards, –  user21436 Apr 15 '12 at 13:00
Hint: compute $x^2$ and subtract $y$