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Mathematics 25 Online
OpenStudy (lxelle):

Help with no. 1 pleaseee! http://wenku.baidu.com/view/ae804322ccbff121dd368328

OpenStudy (lxelle):

@perl

OpenStudy (perl):

which problem

OpenStudy (lxelle):

Number 1

OpenStudy (lxelle):

the first section

OpenStudy (lxelle):

Yes

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 ??

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):

$$ \Large { \frac{2i }{ -\frac12 + i\cdot \frac{ \sqrt{3} } {2}} \\ =\frac{2i }{\left( -\frac12 + i\cdot \frac{ \sqrt{3} } {2} \right)} \cdot \frac{2}{2} = \frac {2\cdot 2i}{-1 + i \sqrt3 } \\ =\frac {2\cdot 2i}{-1 + i \sqrt3 } \cdot \frac{-1 - i \sqrt3}{-1 - i \sqrt3} \\ } $$

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 $$ \Large { | w - uw | = | w - \frac{u}{w}|= | uw - \frac uw | }$$

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 :)

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

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