解方程:x³-x²-x+1=0
问题描述:
解方程:x³-x²-x+1=0
答
x³-x²-x+1=0
x²(x-1)-(x-1)=0
(x-1)(x²-1)=0
(x-1)(x+1)(x-1)=0
x1=1,x2= -1,x3=1
答
x³-x²-x+1=0
x^2(x-1)-(x-1)=0
(x-1)(x^2-1)=0
(x-1)^2(x+1)=0
所以解得:x=-1或1
答
x^3-x-(x^2-1)=0
x(x^2-1)-(x^2-1)=0
(x-1)(x^2-1)=0
x-1=0或x^2-1=0
x=土1
不懂,请追问,祝愉快O(∩_∩)O~