解方程:X三次方-4X+3X三次方-4X+3=0

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解方程:X三次方-4X+3X三次方-4X+3=0

解方程:X三次方-4X+3X三次方-4X+3=0
解方程:X三次方-4X+3
X三次方-4X+3=0

解方程:X三次方-4X+3X三次方-4X+3=0
x^3-4x+3=0
x^3-x-3x+3=0
x(x^2-1)-3(x-1)=0
x(x-1)(x+1)-3(x-1)=0
(x-1)(x^2+x-3)=0
x-1=0 或 x^2+x-3=0
x=1 或 x=(-1±√13)/2

1

等号呢
x1=1,x2=(-1-√3)/2,x3=(-1+√3)/2


x^3-4x+3=0
x^3-x-3x+3=0
x(x^2-1)-3(x-1)=0
x(x-1)(x+1)-3(x-1)=0
(x-1)(x^2+x-3)=0
解为:
x1=1 ; x2=(-1+√13)/2 ; x3=(-1-√13)/2

(X-1)*(x²+x+3)