Question

(x^2 + 1)(x^3 + 2x)(x^2 + 4x - 16i - 4xi) = 0
Solve the following equation by identifying all of its roots including any imaginary numbers. In your final answer, include the necessary steps and calculations.

Answer 1

set each factor equal to zero and solve

Answer 2

for example
\[x^2 + 1=0\\
x^2=-1\\
x=\pm\sqrt{-1}\\x=\pm i\] for the first factor

Answer 3

\[x^2 + 4x - 16i - 4xi=0\] will present a challenge but if you rewrite it as \[x^2+(4-4i)x-16i=0\] you can use the quadratic formula with \[a=1,b=4-4i,c=-16i\]

Answer 4

Thank you very much. Do I have to do anything else or is everything you wrote is the answer?

Answer 5

@satellite73