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    i was given this problem:

    if Z^4 = -1, what is Z?

    if anyone could help that would be great

    thanks
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    (Original post by purple)
    i was given this problem:

    if Z^4 = -1, what is Z?

    if anyone could help that would be great

    thanks

    Ah a roots of unity question.

    Basically what you do is express -1 as e^-i(pi)

    therefore all solns will take then form

    e^(-pi + 2npi), where n goes from 0 to 3.

    and the modulus is ofcourse 1

    thanku
 
 
 
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Updated: November 20, 2003
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