没有有理根,可以用软件算出来它的九个根。
(1/6)*(-72+72*(17+3*sqrt(33))^(1/3)+306*(17+3*sqrt(33))^(2/3)-54*(17+3*sqrt(33))^(2/3)*sqrt(33))^(1/3), -(1/12)*(-72+72*(17+3*sqrt(33))^(1/3)+306*(17+3*sqrt(33))^(2/3)-54*(17+3*sqrt(33))^(2/3)*sqrt(33))^(1/3)+(1/12*I)*sqrt(3)*(-72+72*(17+3*sqrt(33))^(1/3)+306*(17+3*sqrt(33))^(2/3)-54*(17+3*sqrt(33))^(2/3)*sqrt(33))^(1/3), -(1/12)*(-72+72*(17+3*sqrt(33))^(1/3)+306*(17+3*sqrt(33))^(2/3)-54*(17+3*sqrt(33))^(2/3)*sqrt(33))^(1/3)-(1/12*I)*sqrt(3)*(-72+72*(17+3*sqrt(33))^(1/3)+306*(17+3*sqrt(33))^(2/3)-54*(17+3*sqrt(33))^(2/3)*sqrt(33))^(1/3), (1/6)*(-72-36*(17+3*sqrt(33))^(1/3)-153*(17+3*sqrt(33))^(2/3)+(36*I)*(17+3*sqrt(33))^(1/3)*sqrt(3)-(153*I)*sqrt(3)*(17+3*sqrt(33))^(2/3)+27*(17+3*sqrt(33))^(2/3)*sqrt(33)+(27*I)*sqrt(33)*sqrt(3)*(17+3*sqrt(33))^(2/3))^(1/3), -(1/12)*(-72-36*(17+3*sqrt(33))^(1/3)-153*(17+3*sqrt(33))^(2/3)+(36*I)*(17+3*sqrt(33))^(1/3)*sqrt(3)-(153*I)*sqrt(3)*(17+3*sqrt(33))^(2/3)+27*(17+3*sqrt(33))^(2/3)*sqrt(33)+(27*I)*sqrt(33)*sqrt(3)*(17+3*sqrt(33))^(2/3))^(1/3)+(1/12*I)*sqrt(3)*(-72-36*(17+3*sqrt(33))^(1/3)-153*(17+3*sqrt(33))^(2/3)+(36*I)*(17+3*sqrt(33))^(1/3)*sqrt(3)-(153*I)*sqrt(3)*(17+3*sqrt(33))^(2/3)+27*(17+3*sqrt(33))^(2/3)*sqrt(33)+(27*I)*sqrt(33)*sqrt(3)*(17+3*sqrt(33))^(2/3))^(1/3), -(1/12)*(-72-36*(17+3*sqrt(33))^(1/3)-153*(17+3*sqrt(33))^(2/3)+(36*I)*(17+3*sqrt(33))^(1/3)*sqrt(3)-(153*I)*sqrt(3)*(17+3*sqrt(33))^(2/3)+27*(17+3*sqrt(33))^(2/3)*sqrt(33)+(27*I)*sqrt(33)*sqrt(3)*(17+3*sqrt(33))^(2/3))^(1/3)-(1/12*I)*sqrt(3)*(-72-36*(17+3*sqrt(33))^(1/3)-153*(17+3*sqrt(33))^(2/3)+(36*I)*(17+3*sqrt(33))^(1/3)*sqrt(3)-(153*I)*sqrt(3)*(17+3*sqrt(33))^(2/3)+27*(17+3*sqrt(33))^(2/3)*sqrt(33)+(27*I)*sqrt(33)*sqrt(3)*(17+3*sqrt(33))^(2/3))^(1/3), (1/6)*(-72-36*(17+3*sqrt(33))^(1/3)-153*(17+3*sqrt(33))^(2/3)-(36*I)*(17+3*sqrt(33))^(1/3)*sqrt(3)+(153*I)*sqrt(3)*(17+3*sqrt(33))^(2/3)+27*(17+3*sqrt(33))^(2/3)*sqrt(33)-(27*I)*sqrt(33)*sqrt(3)*(17+3*sqrt(33))^(2/3))^(1/3), -(1/12)*(-72-36*(17+3*sqrt(33))^(1/3)-153*(17+3*sqrt(33))^(2/3)-(36*I)*(17+3*sqrt(33))^(1/3)*sqrt(3)+(153*I)*sqrt(3)*(17+3*sqrt(33))^(2/3)+27*(17+3*sqrt(33))^(2/3)*sqrt(33)-(27*I)*sqrt(33)*sqrt(3)*(17+3*sqrt(33))^(2/3))^(1/3)-(1/12*I)*sqrt(3)*(-72-36*(17+3*sqrt(33))^(1/3)-153*(17+3*sqrt(33))^(2/3)-(36*I)*(17+3*sqrt(33))^(1/3)*sqrt(3)+(153*I)*sqrt(3)*(17+3*sqrt(33))^(2/3)+27*(17+3*sqrt(33))^(2/3)*sqrt(33)-(27*I)*sqrt(33)*sqrt(3)*(17+3*sqrt(33))^(2/3))^(1/3), -(1/12)*(-72-36*(17+3*sqrt(33))^(1/3)-153*(17+3*sqrt(33))^(2/3)-(36*I)*(17+3*sqrt(33))^(1/3)*sqrt(3)+(153*I)*sqrt(3)*(17+3*sqrt(33))^(2/3)+27*(17+3*sqrt(33))^(2/3)*sqrt(33)-(27*I)*sqrt(33)*sqrt(3)*(17+3*sqrt(33))^(2/3))^(1/3)+(1/12*I)*sqrt(3)*(-72-36*(17+3*sqrt(33))^(1/3)-153*(17+3*sqrt(33))^(2/3)-(36*I)*(17+3*sqrt(33))^(1/3)*sqrt(3)+(153*I)*sqrt(3)*(17+3*sqrt(33))^(2/3)+27*(17+3*sqrt(33))^(2/3)*sqrt(33)-(27*I)*sqrt(33)*sqrt(3)*(17+3*sqrt(33))^(2/3))^(1/3)