I have to write a polynomial equation based on this info.
Then tell what conic the equation describes.
The distance from a point (x,y) to a fixed point (-3,0) is twice the distance form the point to another fixed point (3,0).
Here is what I did.
The distance from (x,y) to (-3,0) is d1
The distance from (x,y) to (3,0) is d2
d1 = 2* d2
Using the distance formula and doing the algebra I get x^2 - 30x + 3y^2 = 0.
The correct answer is x^2 + y^2 - 10x + 9 = 0 which is a circle.
Can someone please give me a hint for this. thanks.