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Having trouble describing locus of complex points.

Not sure how to approach these types of questions. Do I just replace $|z|$ with $\sqrt{x^2+y^2}$ ?

The question: $|z+2| + |z-2| = 5$

J. W. Tanner
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    Think of distance. You want to find point Z such that the distance from z to 2 plus the distance from z to -2 equals 5. I think this may be an ellipse with 2 and -2 as foci. – Joel Pereira Jan 21 '19 at 03:34
  • Possible duplicate of https://math.stackexchange.com/q/1674177. –  Jan 21 '19 at 03:57

1 Answers1

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An ellipse can be described as the locus of points the sum of whose distances from two points (the foci) is constant. Thus we have an ellipse with foci $(-2,0)$ and $(2,0)$.