X^4-8X^3+18X^2-8X-8=0 .
问题描述:
X^4-8X^3+18X^2-8X-8=0 .
答
x^4-2x^3-(6x^3-12x^2)+(6x^2-12x)+(4x-8)=0x^3(x-2)-6x^2(x-2)+6x(x-2)+4(x-2)=0(x-2)(x^3-6x^2+6x+4)=0(x-2)[(x^3-2x^2)-(4x^2-8x)-(2x-4)]=0(x-2)[x^2(x-2)-4x(x-2)-2(x-2)]=0(x-2)^2*(x^2-4x-2)=0x1=2x2=2+(根6...