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Given that Z is a complex number with condition |Z-1|+|Z+1|=7

Illustrate Z on Argand Diagram and write out the equation of Locuz Z

I attempted to figured out the equation of locus Z,

|Z-1|+|Z+1|=7

|x+yi-1|+|x+yi+1|=7

[tex]\sqrt{}[(x-1)^2+y^2][/tex] + [tex]\sqrt{}[(x+1)^2 + y^2][/tex] = 7

[tex]\sqr{}x^2 + 1 - 2x + y^2 + x^2 + 1 + 2x + y^2 = 49[/tex]

[tex]\sqr{}2x^2 + 2y^2 = 47[/tex]

it's not necessary the correct answer though...

however, I can't figure how to illustrate the diagram! help!

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# Geometry Coordinate

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