Can anyone help me with this convertion??

2x^2+y^2+4x-8y+14=0

..some step by step instructions would be also welcome;)

Thx

Printable View

- Mar 26th 2008, 08:20 AMSuperGranny[SOLVED] convert from implicit to parametric equation
Can anyone help me with this convertion??

2x^2+y^2+4x-8y+14=0

..some step by step instructions would be also welcome;)

Thx - Mar 26th 2008, 08:49 AMOpalg
This is not exactly step-by-step, but it will give you an outline of what's needed, and hopefully you can fill in the details.

__Step 1__. Collect the x terms together, and also the y terms, and complete the square in both x and y. That should lead to the result .

__Step 2__. Divide by 4, so as to get 1 on the right-hand side: . You should recognise that as the equation of an ellipse with its centre at (–1,4) and semi-axes √2 and 2 (the square roots of the denominators).

__Step 3__. You can then write down the parametric equations in the form , .