Mathematics, 13.04.2020 18:56 Gideon3291

For each odd positive integer n, the only real number solution to x^n=1 is n = 1 while for even positive integers n, x=1 and x = − 1 are solutions to x^n=1. In this problem, we look for all complex number solutions to x^n=1 for some small values of n.

1. Find all complex numbers a + bi whose cube is 1.
2. Find all complex numbers a + bi whose fourth power is 1.

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For each odd positive integer n, the only real number solution to x^n=1 is n = 1 while for even posi...

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