SOLUTION: Find any rational roots of the equation 3x^3-2x^2+6x-4=0

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Question 1009342: Find any rational roots of the equation 3x^3-2x^2+6x-4=0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E3-2x%5E2%2B6x-4=0
%283x%5E3-2x%5E2%29%2B%286x-4%29=0
x%5E2%283x-2%29%2B2%283x-2%29=0
%283x-2%29%28x%5E2%2B2%29+=+0
roots:
if %283x-2%29=+0=>3x=2=>highlight%28x=2%2F3%29->real root
if %28x%5E2%2B2%29+=+0=>x%5E2=-2=>x=sqrt%28-2%29=>highlight%28x=i%2Asqrt%282%29%29 or highlight%28x=-i%2Asqrt%282%29%29-> complex roots