解方程x^3+2x^2-5x+2=0
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/23 09:15:27
解方程x^3+2x^2-5x+2=0解方程x^3+2x^2-5x+2=0解方程x^3+2x^2-5x+2=0x^3+2x^2-5x+2=0x^3-1+2x^2-5x+3=0(x-1)(x^2+x+1)
解方程x^3+2x^2-5x+2=0
解方程x^3+2x^2-5x+2=0
解方程x^3+2x^2-5x+2=0
x^3+2x^2-5x+2=0
x^3-1+2x^2-5x+3=0
(x-1)(x^2+x+1)+(2x-3)(x-1)=0
(x-1)(x^2+x+1+2x-3)=0
(x-1)(x^2+3x-2)=0
(x-1)(x^2+3x+9/4-9/4-2)=0
(x-1)[(x+3/2)^2-17/4]=0
(x-1)(x+3/2-√17/2)(x+3/2+√17/2)=0
x=1或x=√17/2-3/2或x=-√17/2-3/2
(x^3-x)+(2x^2-4x+2)=x(x+1)(x-1)+2(x-1)^2=(x-1)(x^2+x+2x-2)=(x-1)(x^2+3x-2)=0
x=1,x=(-3+根号17)/2,x=(-3-根号17)/2.
请采纳！
x^3+2x^2-5x+2
=x^3-x^2+3(x^2-x)-2(x-1)
=x^2(x-1)+3x(x-1)-2(x-1)
=(x^2+3x-2)(x-1)
=((x+3/2)^2-17/4)(x-1)
=(x+(3+√17)/2))(x+(3-√17)/2)(x-1)
=0
所以x=(3+√17)/2 或x=(3-√17)/2 或x=1
解方程x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6)
解方程：(4/x-2)+(x-1/x-5x+6)+(2/3-x)=0
(x-1)(x-3)(x-4)(x-12)+5x^2=0解方程
(x^2+x)(x^2+x-3)-3(x^2+x)+8=0解方程
解方程:2(X-3)(X+5)=X平方+(X+2)(X-2)+(X+7)
解方程(x-3/x)-(3-x/x+1)=5x-15/2x+2
解方程：(x-2)(x^2-6x-9)=x(x-5)(x-3)
解方程 x(2x-4)+3x(x-1)=5x(x-3)+8
解方程 3x/x×x-1+x×x-1/3x=5/2
解方程：x(3x-4)+2x(x+7)=5x(x-7)+90
解方程：(x+3)/(x+2)-(x+4)/(x+3)=(x+5)/(x+4)-(x+2)/(x+1)
解方程(x+1/x+2)-(x+2/x+3)=(x+5/x+6)-(x+6/x+7)
解方程：x+2/x+1-x+3/x+2=x+6/x+5-x+7/x+6
解分式方程：(x+1)/(x+2)+(x+6)/(x+7)=(x+2)/(x+3)+(x+5)/(x+6)
解分式方程: (x-1)/(x-2)+(x-6)/(x-7)=(x-2)/(x-3)+(x-5)/(x-6)
解方程(x-2)/(x-3)-(x-3)/(x-4)=(x-5)/(x-6)-(x-6)/(x-7)
解方程 x+2/x+1+x+8/x+7=x+6/x+5+x+4/x+3
解方程：2x+4x+6x...+100x=1-(x+3x+5x+...+99x)