Question 931827: Solve the following equation by identifying all of its roots including any imaginary numbers. In your final answer, include the necessary steps and calculations. Hint: Use your knowledge of factoring polynomials.
(x^ 2 + 1)(x^ 3 + 2x)(x ^2 + 4x - 16i - 4xi) = 0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve the following equation by identifying all of its roots including any imaginary numbers. In your final answer, include the necessary steps and calculations. Hint: Use your knowledge of factoring polynomials.
(x^ 2 + 1)(x^ 3 + 2x)(x ^2 + 4x - 16i - 4xi) = 0
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(x-i)(x+i)(x)*(x+sqrt(2)i)(x-sqrt(2)i)(x+4)(x-4i)) = 0
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x = i or -i or -sqrt(2)i or +sqrt(2)i or -4 or 4i
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Cheers,
Stan H.
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