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There is one and only one real solution, and no imaginary solutions, of the equation x13 = 1.

The solution is x = 1.

If x = -1 then x13 = -1, so that does not work.

If x = i, then x13 = -i, so that does not work.

If x = -i, then x13 = -i, so that does not work.

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Q: How many real and imaginary solutions of the equation X13 equals 1?
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