- #1
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Given: e^(i*pi) = -1 and e^(2*i*pi)=1
Adding we get: e^(i*pi) + e^(2*i*pi) = (-1+1) = 0
Factoring gives e^(i*pi) * [ 1 + e^(i*pi) ] = 0
so setting the second factor = to 0 gives 1 + e^(i*pi) = 0 which gives e^(i*pi)=-1
Okay so far, but setting the first factor = to 0 does not work.
e^(i*pi) = -1 It does not equal 0.
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So what am I missing here?
Adding we get: e^(i*pi) + e^(2*i*pi) = (-1+1) = 0
Factoring gives e^(i*pi) * [ 1 + e^(i*pi) ] = 0
so setting the second factor = to 0 gives 1 + e^(i*pi) = 0 which gives e^(i*pi)=-1
Okay so far, but setting the first factor = to 0 does not work.
e^(i*pi) = -1 It does not equal 0.
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So what am I missing here?