SOLUTION: the complex number z satisfies the equation |z|=|z+2|.Show that the real part of z is -1 the complex number z also satisfies the equation |z|=2

Question 953603: the complex number z satisfies the equation |z|=|z+2|.Show that the real part of z is -1
the complex number z also satisfies the equation |z|=2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the complex number z satisfies the equation |z|=|z+2|.Show that the real part of z is -1
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z = z+2 is a contradiction.
Therefore z = -z-2
2z = -2
z = -1
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Cheers,
Stan H.
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the complex number z also satisfies the equation |z|=2
Comment: Is this a statement or a question?
Cheers,
stan H.
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