x²-ax+a-1=0如何因式分解

问题描述:

x²-ax+a-1=0如何因式分解

x²-ax+a-1=x²-1-a(x-1)=(x+1)(x-1)-a(x-1)=(x-1)(x-a+1)

(x-1)[x-(a-1)]

妈啊,这什么玩意啊?能分
解的吗?

x^2-ax+a-1=0
(x-1)[x-(a-1)]=0
x1=1,x2=a-1

(x²-1)-ax+a=0
(x+1)(a-1)-a(x-1)=0
(x-1)(x+1-a)=0
x=1,x=a-1

x -(a-1)
x -1
[x-(a-1)](x-1)=0

x²-ax+a-1=0
x^2-[(a-1)+1]x+1*(a-1)=0
[x-(a-1)](x-1)=0
(x-a+1)(x-1)=0