SOLUTION: Z^3-6z^2+z-6=0

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Question 482462: Z^3-6z^2+z-6=0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
z%5E3-6z%5E2%2Bz-6=0...group

%28z%5E3-6z%5E2%29%2B%28z-6%29=0...factor out z%5E2

z%5E2%28z-6%29%2B1%28z-6%29=0..factor out z-6

%28z%5E2%2B1%29%28z-6%29=0

solutions:
z%5E2%2B1=0
z%5E2=-1
z=sqrt%28-1%29
highlight%28z=i%29 or highlight%28z=-i%29 two complex solutions

z-6=0
highlight%28z=6%29 one real solution