聂海芬2017最新进展:函数f(x)=x*x*x-x*x-x+1有多少个零点?

来源:百度文库 编辑:中科新闻网 时间:2024/04/29 19:35:29
*为乘号,各位多多支持!

F(X)
=X^3-X^2-X+1
=(X^3-X)-(X^2-1)
=X(X^2-1)-(X^2-1)
=(X-1)(X^2-1)
=(X-1)(X-1)(X+1)

即X=1或-1的时候,函数为0
两个零点:1、-1

F(X)
=X^3-X^2-X+1
=(X^3-X)-(X^2-1)
=X(X^2-1)-(X^2-1)
=(X-1)(X^2-1)
=(X-1)(X-1)(X+1)

即X=1或-1的时候,函数为0
两个零点:1、-1
2个

F(X)
=X^3-X^2-X+1
=(X^3-X)-(X^2-1)
=X(X^2-1)-(X^2-1)
=(X-1)(X^2-1)
=(X-1)(X-1)(X+1)

即X=1或-1的时候,函数为0
两个零点:1、-1
2个

f(x)=(x+1)*(x-1)*(x-1)=0
x=1 x=-1

3个,x1=1,x2=1,x3=-1

三个