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charmedbeauty
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Homework Statement
for z= 3e[itex]^{(-5\pi i/6)}[/itex] and w=1+i
find Re(iw+[itex]\overline{z}[/itex][itex]^{2}[/itex])
Homework Equations
The Attempt at a Solution
[itex]\overline{z}[/itex]= 3e[itex]^{5\pi i/6}[/itex]
so |z|=3 and Arg(z)= 5[itex]\pi[/itex][itex]/6[/itex] which lies in the second quad. so we have z= -1+ i[itex]\sqrt{3}[/itex]
so squaring z I have 1-2i[itex]\sqrt{3}[/itex] -3
so Re(z) = -2.
and for the w once I times through by i we have w=i-1
so I thought it should be something like Re(iw+[itex]\overline{z}[/itex][itex]^{2}[/itex])=
-1+-2=-3
But the answer says 7/2
Im sure I have gone wrong somewhere please help!
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