(1)X²-(1+2√3)X-3+√3=0(2)2X+2/X+X²+1/X²-6=0
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/25 07:41:10
![(1)X²-(1+2√3)X-3+√3=0(2)2X+2/X+X²+1/X²-6=0](/uploads/image/z/10782012-12-2.jpg?t=%EF%BC%881%EF%BC%89X%26sup2%3B-%EF%BC%881%2B2%E2%88%9A3%EF%BC%89X-3%2B%E2%88%9A3%3D0%EF%BC%882%EF%BC%892X%2B2%2FX%2BX%26sup2%3B%2B1%2FX%26sup2%3B-6%3D0)
(1)X²-(1+2√3)X-3+√3=0(2)2X+2/X+X²+1/X²-6=0
(1)X²-(1+2√3)X-3+√3=0
(2)2X+2/X+X²+1/X²-6=0
(1)X²-(1+2√3)X-3+√3=0(2)2X+2/X+X²+1/X²-6=0
1,X²-X-2√3X-3+√3=0
X²-2√3X+3-6-X+√3=0
(X-√3)²-(X-√3)-6=0
(X-√3-3)(X-√3+2)=0
X=√3+3 或X=√3-2
2,2(X+1/X)+(X+1/X)²-2-6=0
(X+1/X)²+2(X+1/X)-8=0
(X+1/X-4)(X+1/X+2)=0
X+1/X=4或X+1/X=-2
解得X=2±√3或X=-1