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A curve consists of all of the points $(x, y)$ in the Cartesian plane such that the sum of the distances from $(x, y)$ to $(1, 0)$ and to $(−1, 0)$ is $4$.

Find an equation for the curve that does not employ square roots.

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This should help you:

enter image description here

The rest will follow...

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  • $\begingroup$ [+1] I don't know if "the rest will follow" for the OP, but I like the drawing. $\endgroup$
    – Jean Marie
    Dec 15, 2016 at 21:49
  • $\begingroup$ @JeanMarie I don't really appreciate homework questions in general, but sometimes questions are not being helpful. $\endgroup$
    – Joce
    Dec 15, 2016 at 21:51

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