解不等式X²-x-1<0的解集 求详细过程

Question

如题所述

Answer 1

请采纳

Answer 2

x^2-x-1<0
因为△=(-1)^2-4X1X(-1)
=✔5
x=(1±✔5)/2
所以原不等式解集为:
(1-√5)/2<x<(1+√5)/2本回答被提问者采纳

Answer 3

x²-x-1<0
(x-1/2)²-1/4-1<0
(x-1/2)²-5/4<0
(x-1/2)²<5/4
-√5/2<x-1/2<√5/2
(1-√5)/2<x<(1+√5)/2本回答被网友采纳

Answer 4

x^2-x-1<0
(1-√5)/2<x<(1+√5)/2追问

有没有详细点的

追答

这样
x^2-x-1<0
[x-(1-√5)/2][x-(1+√5)/2] <0
(1-√5)/2<x<(1+√5)/2