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3x^(2)-6x+2=0...

3x^(2)-6x+2=0

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If x=2+2^(2/3)+2^(1/3) show that x^(3)-6x^(2)+6x-2=0

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Universal set U={x|x^(5)-6x^(4)+11x^(3)-6x^(2)=0}A={x|x^(2)-5x+6=0}B={x|x^(2)-3x+2=0} what is (A nn B) equal to?

One of the real roots of the equation x^3-6x^2+6x-2=0 is