> 数学 >
解分式方程
(1)
1
x+3
-
2
3−x
=
12
x2−9
                          
(2)
x
x−2
-
x+14
x2−4
=
2x
x+2
-1
(3)
5x−2
x(x2−1)
=
3
x2−1
                             
(4)
2x
2x−3
-
1
2x+3
=1.
人气:300 ℃ 时间:2020-10-01 21:55:44
解答
(1)方程变形为1x+3+2x−3=12x2−9,两边同时乘以(x2-9)得,x-3+2x+6=12,解得:x=3,经检验x=3是原方程的增根,故原方程无解;(2)两边同时乘以(x2-4)得:x(x+2)-(x+14)=2x(x-2)-(x2-4),整理得,5x=...
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