解下列方程:(1)6/x+4-3/x-1=0 (2)x/2x-5-5/x-2x=1 (3)x+1/x-2=x-3/x-4 (4)2/x+1+3/x-1=6/x^-1 (
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解下列方程:
(1)6/x+4-3/x-1=0
解,得:
6+4x-3-x=0
3x=-3
x=-1
(2)x/2x-5-5/x-2x=1
解,得:
1/2-5-5/x-2x=1
x-10x-4x^2=2x
4x^2+2x-x+10x=0
4x^2+11x=0
x(4x+11)=0
x1=0
或 x2=-11/4
(3)x+1/x-2=x-3/x-4
解,得;
x^2+1-2x=x^2-3-4x
2x=-4
x=-2
(4)2/x+1+3/x-1=6/x^-1
解,得:
2/x+1+3/x-1=6x
2+x+3-x=6x^2
6x^2=5
x^2=5/6
x1=根号5/6
或 x2=-根号5/6
(1)6/x+4-3/x-1=0
解,得:
6+4x-3-x=0
3x=-3
x=-1
(2)x/2x-5-5/x-2x=1
解,得:
1/2-5-5/x-2x=1
x-10x-4x^2=2x
4x^2+2x-x+10x=0
4x^2+11x=0
x(4x+11)=0
x1=0
或 x2=-11/4
(3)x+1/x-2=x-3/x-4
解,得;
x^2+1-2x=x^2-3-4x
2x=-4
x=-2
(4)2/x+1+3/x-1=6/x^-1
解,得:
2/x+1+3/x-1=6x
2+x+3-x=6x^2
6x^2=5
x^2=5/6
x1=根号5/6
或 x2=-根号5/6
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