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#1

(−3+√i)^10 can be written in the form of a+ib, where a and b are real. Find a and b
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1 month ago
#2
(Original post by abz.dallar)

(−3+√i)^10 can be written in the form of a+ib, where a and b are real. Find a and b
This is going to be tedious in the extreme. Are you sure the question is correct?
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1 month ago
#3
You could use binomial expansion...
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#4
(Original post by ghostwalker)
This is going to be tedious in the extreme. Are you sure the question is correct?
yes it is
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1 month ago
#5
(Original post by abz.dallar)
yes it is
OK, so what's the problem you're having with working it out?
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1 month ago
#6
Use binomial expansion and gather like terms together
https://www.onlinemathlearning.com/i...-expansion.png
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#7
(Original post by ghostwalker)
OK, so what's the problem you're having with working it out?
i cant work it out, so i wanted to know how to work it out
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#8
Use binomial expansion and gather like terms together
https://www.onlinemathlearning.com/i...-expansion.png
thank you
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1 month ago
#9
Just to warn: the exact form is going to look something like: (note, so as not to give a solution, these aren't the actual numbers, but just to give an idea of how complicated it is). It is going to be extremely tedious to calculate by hand.

Edit: are you sure it's not ? That would seem more reasonable as a manual exercise.
Last edited by DFranklin; 1 month ago
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1 month ago
#10
(Original post by abz.dallar)
thank you
no worries, there are some binomial expansion calculators online which will make it a lot easier!
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