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|z-4|=re(z) maximim +arg of complex satisfying this??

Mathematics
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oh, maximum positive argument of z satisfying |z-4|=re(z)? i am sorry. messed up a little
mod((x+iy)-4)=x mod((x-4)+iy))=x sqrt((x-4)^2+y^2)=x
i get 16-8x+y^2.. how do i proceed?

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sorry that i was thinking could be a way to solve problem but i was wrong....................now i have found a way to solve it .................but dont know how to draw figure here??????????
you can draw it by clicking draw.. right below the box yu type in..
@nitz can you help me please?
options are 30 60,45,90..
|dw:1356176367696:dw|
think again z-4=(x-4)+iy not x+i(y+4)
woops!! sorry .. may fault!! (x-4)^2 + y^2 = x^2 use this relation to maximize this function Arg(z) = arctan(y/x)
http://www.wolframalpha.com/input/?i=maximize+arctan%28y%2Fx%29%2C+-8x%2B16+%2B+y^2+%3D+0
@experimentX how did the site maximise it.. i mean maximing wrt a function. how to do that?
got it!!

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