若x^3+x^2+x+1=0,则y=x^97+x^98+.+x^103
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若x^3+x^2+x+1=0,则y=x^97+x^98+.+x^103
![若x^3+x^2+x+1=0,则y=x^97+x^98+.+x^103](/uploads/image/z/16090058-2-8.jpg?t=%E8%8B%A5x%5E3%2Bx%5E2%2Bx%2B1%3D0%2C%E5%88%99y%3Dx%5E97%2Bx%5E98%2B.%2Bx%5E103)
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!
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