x3-x2-3x+2=0怎么解

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/15 18:58:05
x3-x2-3x+2=0怎么解x3-x2-3x+2=0怎么解x3-x2-3x+2=0怎么解X^3-2X^2+X^2-3X+2=0X^2(X-2)+(X-1)(X-2)=0(X-2)(X^2+X-1)=

x3-x2-3x+2=0怎么解
x3-x2-3x+2=0怎么解

x3-x2-3x+2=0怎么解
X^3-2X^2+X^2-3X+2=0
X^2(X-2)+(X-1)(X-2)=0
(X-2)(X^2+X-1)=0
X=0,X2,3=(-1±√5)/2

x3-x2-3x+2=0
(x^3-x^2-2x)-(x-2)=0
x(x+1)(x-2)-(x-2)=0
(x-2)(x^2+x-1)=0
x=2
x^2+x-1=0
x=(-1+-根号5)/2

x³-x²-3x+2=(x-2)(x²+x-1)=0
解x=2或(-1±√5)/2