SOLUTION: Find the real solution of the equation {{{ x^3-2x^2+x-2=0 }}}

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Question 10851: Find the real solution of the equation +x%5E3-2x%5E2%2Bx-2=0+
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3+-+2x%5E2+%2B+x+-+2+=+0 Factor.
%28x+-+2%29%28x%5E2+%2B+1%29+=+0 Apply the zero product principle.
x+-+2+=+0 or x%5E2+%2B+1+=+0
If x+=+-2 then x+=+2 A real root.
If x%5E2+%2B+1+=+0 then x%5E2+=+-1 and x = +-sqrt%28-1%29 Two imaginary roots.