若x^3+x^2+x+1=0,则y=x^97+x^98+.+x^103

问题描述:

若x^3+x^2+x+1=0,则y=x^97+x^98+.+x^103

x^3+x^2+x+1=0,则(x+1)(x^2+1)=0,∴ x=-1.y=x^97+x^98+...+x^103=4×(-1)+3×1=-1.; 祝你学业进步!