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February 28, 2026, 09:57:06 am

Author Topic: Complex numbers confused  (Read 812 times)  Share 

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samsiexD

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Complex numbers confused
« on: March 07, 2013, 10:45:37 pm »
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This sounds silly but when it says "express to form x+yi" does that mean simplify down to simplest form? Because theres some questions that i do and i don't know how to put it in that form

E.g. 2C(i got 10) and 3C( i got 2i)

And when i do 3D and 3E i get 0 for both

Can someone tell me what im doing wrong please :(

Lasercookie

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Re: Complex numbers confused
« Reply #1 on: March 07, 2013, 10:57:38 pm »
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If you really wanted it to be in that form, you could say:

2c)
I would lean towards that it's probably unnecessary to write the 0i. If you plot them on an argand diagram hopefully it'll make sense why any points on the Real axis will be (x+0i) and any points on the Imaginary axis will be (0 + yi) 

With 3c and 3d:

3c) squaring the difference of z (which is z = z+i) and the conjugate of z (which is z-bar = z - i):

3d) So the conjugate of z, and then cubing it. (using bionomial thingy to expand it)


Conic

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Re: Complex numbers confused
« Reply #2 on: March 07, 2013, 10:58:11 pm »
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Beaten, but anyway.

3d:









3e:







« Last Edit: March 07, 2013, 11:05:39 pm by Conic »
2012-13: VCE at Parade College (Chemistry, English, Mathematical Methods, Physics and Specialist Mathematics).
2014-16: Bachelor of Science at La Trobe University (Mathematics and Statistics).
2017-17: Bachelor of Science (Honours) at La Trobe University (Mathematics).
2018-21: PhD at La Trobe University (Mathematics).

samsiexD

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Re: Complex numbers confused
« Reply #3 on: March 07, 2013, 11:08:37 pm »
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Thank yous so much it makes a whole lot more sense now :)
Turns out i made minor mistakes, thanks!