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Math Help - Changing parametric equation to cartesian

  1. #1
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    Changing parametric equation to cartesian

    I've got this parametric equations:
    x=\frac{c(t^4+1)}{2t^3}
    y=\frac{c(t^4+1)}{2t}
    t is the variable
    I am supposed to find the Cartesian equation of these points, are there any pointers like things to look out for when trying to convert such things? I want to try it myself, but i need some guidance as to where to start when dealing with such equations.
    Thanks!
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  2. #2
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    Hello arze
    Quote Originally Posted by arze View Post
    I've got this parametric equations:
    x=\frac{c(t^4+1)}{2t^3}
    y=\frac{c(t^4+1)}{2t}
    t is the variable
    I am supposed to find the Cartesian equation of these points, are there any pointers like things to look out for when trying to convert such things? I want to try it myself, but i need some guidance as to where to start when dealing with such equations.
    Thanks!
    It's difficult to define any hard-and-fast rules. Obviously, you have to eliminate t between the two equations, so you'll have to look for ways to do this. You could try to isolate t and then eliminate it by substitution.

    In this case, the equations only differ in the power of t in the denominators on the right-hand-sides. So
    y = t^2x
    Now make t the subject of this equation, and eliminate it by substituting into whichever of the original equations looks like being the easier.

    Grandad
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