Mathematics
25 Online
OpenStudy (lxelle):
Help with no. 1 pleaseee! http://wenku.baidu.com/view/ae804322ccbff121dd368328
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OpenStudy (lxelle):
@perl
OpenStudy (perl):
which problem
OpenStudy (lxelle):
Number 1
OpenStudy (lxelle):
the first section
OpenStudy (lxelle):
Yes
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OpenStudy (lxelle):
I've found w = -1/2 + i sqrt3 /2
OpenStudy (lxelle):
Couldn't find uw and u/w
OpenStudy (perl):
$$ \Large {w = 1[cos( \frac{2\pi}{3}) + i \sin(\frac{2\pi}{3}]
=-\frac12 + i\cdot \frac{\sqrt3}{2}
\\~~\\
u\cdot w = 2i ( -\frac12 + i\cdot \frac{\sqrt3}{2}) = -i -\sqrt{3}
} $$
OpenStudy (lxelle):
What about iii)?
OpenStudy (lxelle):
U/w? Do I put 2i/ -1/2 + I sqrt3/2 ??
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OpenStudy (perl):
yes
OpenStudy (lxelle):
iii Pls.
OpenStudy (perl):
$$ \Large {
\frac{2i }{ -\frac12 + i\cdot \frac{ \sqrt{3} } {2}}
= \frac {2\cdot 2i}{-1 + i \sqrt3 }
} $$
OpenStudy (perl):
ok so far?
OpenStudy (perl):
$$ \Large {
\frac{2i }{ -\frac12 + i\cdot \frac{ \sqrt{3} } {2}} \\
=\frac{2i }{\left( -\frac12 + i\cdot \frac{ \sqrt{3} } {2} \right)} \cdot \frac{2}{2}
= \frac {2\cdot 2i}{-1 + i \sqrt3 } \\
=\frac {2\cdot 2i}{-1 + i \sqrt3 } \cdot \frac{-1 - i \sqrt3}{-1 - i \sqrt3} \\
} $$
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OpenStudy (lxelle):
Oh yes I'm good with that alrd. I mean help me with iii :)
OpenStudy (perl):
the equilateral triangle?
OpenStudy (lxelle):
Yasss
OpenStudy (perl):
it is equilateral if | U- A | = | U - B | = | A - B|
OpenStudy (perl):
show that $$ \Large { | w - uw | = | w - \frac{u}{w}|= | uw - \frac uw | }$$
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OpenStudy (perl):
|dw:1428390380932:dw|
OpenStudy (lxelle):
Oh. That's all?
OpenStudy (lxelle):
U is u btw
OpenStudy (perl):
yes
OpenStudy (lxelle):
Thanks. Help me with 8 iii Pls :)
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OpenStudy (perl):
i can't read that , its a bit hazy
OpenStudy (lxelle):
Clear now?
OpenStudy (perl):
its upside down
OpenStudy (lxelle):
AH, I give up alrd lol. It's okay