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    Verify that there is a constant c such that the roots (1+4i), (1-4i) and -7 satisfy mod(z+2) = c.

    I don't really understand what the question is asking. I understand that it is a circle and that is about it. Any help would be greatly appreciated.
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    (Original post by obradfield)
    Verify that there is a constant c such that the roots (1+4i), (1-4i) and -7 satisfy mod(z+2) = c.

    I don't really understand what the question is asking. I understand that it is a circle and that is about it. Any help would be greatly appreciated.
    For z=1 \pm 4i and z=-7, plug them all into |z+2| and see what you get. They should all be the same value.

    This is what the question is asking for, by the looks of it.
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    the locus | z + 2 | = c will be a circle with radius c and centre ( -2, 0 ) or -2 + 0i if you prefer.
 
 
 
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