Question 631543: Please use the nth root Theorem to find all complex solutions of x4 +16 = 0. Write your answer(s) in exact rectangular form. Thanks! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Please use the nth root Theorem to find all complex solutions of x4 +16 = 0.
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(x^2+4i)(x^2-4i) = 0
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(x+2i*sqrt(i))(x-2i*sqrt(i))(x+2sqrt(i))(x+2sqrt(i)) = 0
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x = -2i^(3/2) or 2i^(3/2) or -2sqrt(i) or -2sqrt(i)
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Cheers,
Stan H.
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