SOLUTION: solve equation in the complex number system x^4=1

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Question 989586: solve equation in the complex number system x^4=1
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve equation in the complex number system x^4=1
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x = 1
x = -1
x = i
x = -i

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
I don't believe in just listing answers.  I believe in 
showing how to get them.

x%5E4%22%22=%22%221

x%5E4-1%22%22=%22%220

%28x%5E2-1%29%28x%5E2%2B1%29%22%22=%22%220

%28x%5E%22%22-1%29%28x%5E%22%22%2B1%29%28x%5E2%2B1%29%22%22=%22%220


%28x%5E%22%22-1%29%28x%5E%22%22%2B1%29%28x%5E2-%28-1%29%29%22%22=%22%220

%28x%5E%22%22-1%29%28x%5E%22%22%2B1%29%28x%5E2-i%5E2%29%22%22=%22%220

%28x-1%29%28x%2B1%29%28x-i%29%28x%2Bi%29%22%22=%22%220

x-1=0; x+1=0;  x-i=0; x+i=0
  x=1;   x=-1;   x=i;   x=-i

Edwin