SOLUTION: Show that -i is a root of x^3+5x^2+x+5=0

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Question 370240: Show that -i is a root of x^3+5x^2+x+5=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Substitute x=i in the equation.
i%5E3%2B5i%5E2%2Bi%2B5=-i-5%2Bi%2B5
i%5E3%2B5i%5E2%2Bi%2B5=0