解方程x∧4-7x∧3+17x∧2-17x+6=0
问题描述：
解方程x∧4-7x∧3+17x∧2-17x+6=0
答
x^4-x^3 -6x^3+6x^2+11X^2-11X-6X+6=0X^3(X-1)-6X^2(X-1)+11X(X-1)-6(x-1)=0(x-1)(x^3-6x^2+11x-6)=0(x-1) (x^3-x^2-5x^2+5x+6x-6)=0(x-1)^2(x^2-5x+6)=0(x-1)^2(x-2)(x-3)=0∴x1=x2=1 x3=2 x4=3