What are the solutions to x^2+1=0 in Z_3, Z_2 and C. Is the answer as simple as: no solutions in Z_3 and Z_2 and x=i,-i in C?
Hello, Duke!
We have: .
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We find that: .
Therefore, has no solutions.
We have: .
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We find that: .
Therefore, has one solution:
We have: .
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has solutions if for a positive integer
Are there any other solutions?
. . I don't know.