Converting Parametric Equations into Cartesian Equations

[Oreo123]

So I need help converting this parametric equation into a cartesian equation.
x=1/2(t²+1/t) y=1/2(t²-1/t²​)

 

[Deleted member 4993]

So I need help converting this parametric equation into a cartesian equation.
x=1/2(t²+1/t) y=1/2(t²-1/t²​)

Is that correct?

Are you missing grouping symbols??

 

[stapel]

So I need help converting this parametric equation into a cartesian equation.
x=1/2(t²+1/t) y=1/2(t²-1/t²​)

Are the expressions meant to be this:

. . . . .\(\displaystyle \mbox{a. }\, x\, =\, \dfrac{1}{2\,\left(t^2\, +\, \dfrac{1}{t}\right)}\, \mbox{ and }\, y\, =\, \dfrac{1}{2\,\left(t^2\, -\, \dfrac{1}{t^2}\right)}\)

...or this:

. . . . .\(\displaystyle \mbox{b. }\, x\, =\, \dfrac{1}{2\,\left(\dfrac{t^2\, +\, 1}{t}\right)}\, \mbox{ and }\, y\, =\, \dfrac{1}{2\,\left(\dfrac{t^2\, -\, 1}{t^2}\right)}\)

...or this:

. . . . .\(\displaystyle \mbox{c. }\, x\, =\, \dfrac{1}{2}\,\left(t^2\, +\, \dfrac{1}{t}\right)\, \mbox{ and }\, y\, =\, \dfrac{1}{2}\,\left(t^2\, -\, \dfrac{1}{t^2}\right)\)

...or this:

. . . . .\(\displaystyle \mbox{d. }\, x\, =\, \dfrac{1}{2}\,\left(\dfrac{t^2\, +\, 1}{t}\right)\, \mbox{ and }\, y\, =\, \dfrac{1}{2}\,\left(\dfrac{t^2\, -\, 1}{t^2}\right)\)

...or something else?

When you reply, please include a clear listing of your thoughts and efforts so far. Thank you!