考虑x(x^2+x+1)=x^3+x^2+x,因为x^3+x^2+x是有理数,x^2+x+1>0,且是有理数,所以x=(x^3+x^2+x)/(x^2+x+1)也是有理数。
考虑x(x^2+x+1)=x^3+x^2+x,因为x^3+x^2+x是有理数,x^2+x+1>0,且是有理数,所以x=(x^3+x^2+x)/(x^2+x+1)也是有理数。
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