Thread: Can you help convert the following parametric equ. to cartesian equ.

1. Can you help convert the following parametric equ. to cartesian equ.

$x=t(t-1)$
$y=4t/1-t$

Can you help me convert the above parametric equations to Cartesian equations by eliminating the "t" ?

thanks a lot
Vidhu

2. Re: Can you help convert the following parametric equ. to cartesian equ.

Originally Posted by vidhu
$x=t(t-1)$
$y=4t/1-t$

Can you help me convert the above parametric equations to Cartesian equations by eliminating the "t" ?

thanks a lot
Vidhu
$t^2-t-x=0 \Rightarrow t_{1,2}=\frac{1\pm \sqrt {1+4x}}{2}$

3. Re: Can you help convert the following parametric equ. to cartesian equ.

Hello, vidhu!

$\begin{array}{ccc}x&=&\dfrac{t}{t-1} \\ y&=&\dfrac{4t}{1-t}\end{array}$

Can you help me convert the above parametric equations to Cartesian?

We have: . $\begin{Bmatrix}x &=& \dfrac{t}{t-1} & [1] \\ \\ y &=& \text{-}4\left(\dfrac{t}{t-1}\right) & [2] \end{Bmatrix}$

Substitute [1] into [2]: . $y \:=\:-4x$