(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Describe the set of points z in the complex plane that satisfies each of the following.

[tex]|z|=3|z-1|[/tex]

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

[tex]

x^2+y^2= 3[(x-1)^2+y^2]

[/tex]

[tex]

x^2+y^2= 3[x^2-2x+1+y^2]

[/tex]

[tex]

x^2+y^2= 3x^2-6x+3+3y^2

[/tex]

[tex]

-2y^2= 2x^2-6x+3

[/tex]

[tex]

-y^2= x^2-3x+\frac32

[/tex]

[tex]

-\frac32-y^2=x(x-3)

[/tex]

then

[tex]x=-y^2-\frac32[/tex]

or

[tex]x=-y^2+\frac32[/tex]

Ta said it was wrong but I dont know why?

Does it has to be expressed with Y=?

Input appreciated

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# Homework Help: Complex numbers help

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