SOLUTION: Solve the following equation by identifying all of its roots including all real and complex numbers. In your final answer, include the necessary steps and calculations. Hint: Use y

Question 1032999: Solve the following equation by identifying all of its roots including all real and complex 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^2-64)=0
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
(x^2+1)(x^3+2x)(x^2-64)=0
Find a root from each factor
x^2 + 1 = 0
x^2 = -1
x =
x = i
:
(x^3 + 2x) = 0
Factor out x
x(x^2 + 2) = 0
x = 0
and
x^2 = -2
x =
x =
Extract the square root of -1
x =
:
x^2 - 64 = 0
Factors to
(x-8)(x+8) = 0
x = 8
and
x = -8

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