anonymous
  • anonymous
Solve (i+1)^21 without a calculator. I know the answer, but forgot how to do it.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Michele_Laino
  • Michele_Laino
hint: we can write this: \[\Large 1 + i = \sqrt 2 {e^{i\pi /4}}\]
anonymous
  • anonymous
Forgot to note: This question is supposed to be for Algebra II level math, I don't recall using that when I did it
Michele_Laino
  • Michele_Laino
sorry!

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anonymous
  • anonymous
My mistake :)
Michele_Laino
  • Michele_Laino
sincerely I don't know how to get the requested value without using the polar form of a complex number
anonymous
  • anonymous
That's alright, thank you anyway
Michele_Laino
  • Michele_Laino
ok! :)
triciaal
  • triciaal
|dw:1439160808076:dw|
triciaal
  • triciaal
will that work for you?
Michele_Laino
  • Michele_Laino
another possible way is to use the binomial theorem of Newton, or the triangle of Tartaglia
anonymous
  • anonymous
Thank you both for the help, triciaal for the Algebra II way and Michele_Laino for the more advanced concepts (:
Michele_Laino
  • Michele_Laino
:)
triciaal
  • triciaal
you are welcome
triciaal
  • triciaal
@Michele_Laino what is the triangle of Tartaglia? never heard of it. Is it the same as Pascal's Triangle?
Michele_Laino
  • Michele_Laino
yes! I think so the triangle of Tartaglia is: 1 1 1 1 2 1 1 3 3 1 and so on...
triciaal
  • triciaal
Thanks yes Pascal's Triangle and Pascal was before Newton.
Michele_Laino
  • Michele_Laino
:)

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