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Find all the solutions to x^4+i=0. Write your answer in trig form.
(0 + i) + x^4 = 0
Subtract i from both sides:
x^4 = -i
Taking 4^th roots gives -(-1)^(7/8) times the 4^th roots of unity:
x = -(-1)^(3/8) or x = (-1)^(3/8) or x = -(-1)^(7/8) or x = (-1)^(7/8)