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anonymous
 one year ago
Solve (i+1)^21 without a calculator. I know the answer, but forgot how to do it.
anonymous
 one year ago
Solve (i+1)^21 without a calculator. I know the answer, but forgot how to do it.

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2hint: we can write this: \[\Large 1 + i = \sqrt 2 {e^{i\pi /4}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Forgot 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
 one year ago
Best ResponseYou've already chosen the best response.2sincerely I don't know how to get the requested value without using the polar form of a complex number

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's alright, thank you anyway

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439160808076:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0will that work for you?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2another possible way is to use the binomial theorem of Newton, or the triangle of Tartaglia

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you both for the help, triciaal for the Algebra II way and Michele_Laino for the more advanced concepts (:

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0@Michele_Laino what is the triangle of Tartaglia? never heard of it. Is it the same as Pascal's Triangle?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2yes! I think so the triangle of Tartaglia is: 1 1 1 1 2 1 1 3 3 1 and so on...

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0Thanks yes Pascal's Triangle and Pascal was before Newton.
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