SOLUTION: Find the polynomial equation with integer coefficients for the set of coplanar points described. For each point,its distance from the fixed point (-3,0) is twice its distance fr

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Question 558641: Find the polynomial equation with integer coefficients for the set of coplanar points described.
For each point,its distance from the fixed point (-3,0) is twice its distance from the fixed point (3,0)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let be a point on the desired locus.

The distance from any point to the point is given by the distance formula:



Similarly, the distance from any point to the point is given by:



But we are also given that so:



Square both sides:



All you need to do is simplify, collect like terms, put everything of value on the left and a zero on the right and you are done.

John

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