解方程x∧4-7x∧3+17x∧2-17x+6=0

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解方程x∧4-7x∧3+17x∧2-17x+6=0解方程x∧4-7x∧3+17x∧2-17x+6=0解方程x∧4-7x∧3+17x∧2-17x+6=0x^4-x^3-6x^3+6x^2+11X^2-1

解方程x∧4-7x∧3+17x∧2-17x+6=0
解方程x∧4-7x∧3+17x∧2-17x+6=0

解方程x∧4-7x∧3+17x∧2-17x+6=0
x^4-x^3 -6x^3+6x^2+11X^2-11X-6X+6=0
X^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