(1)计算:xx-y•y2x+y-x4yx4-y4÷x2x2+y2(2)解分式方程:xx+2-x+2x-2=8x2-4.

(1)计算:xx-y•y2x+y-x4yx4-y4÷x2x2+y2(2)解分式方程:xx+2-x+2x-2=8x2-4.

题型:解答题难度:一般来源:不详
(1)计算:
x
x-y
y2
x+y
-
x4y
x4-y4
÷
x2
x2+y2

(2)解分式方程:
x
x+2
-
x+2
x-2
=
8
x2-4
答案
(1)原式=
x
x-y
y2
x+y
-
x4y
(x2+y2)•(x2-y2)
x2+y2
x2
=
xy2
(x+y)(x-y)
-
x2y
(x+y)(x-y)
=
xy2-x2y
(x+y)(x-y)
=
xy(y-x)
(x+y)(x-y)
=-
xy
x+y


(2)方程两边同乘以最简公分母(x+2)(x-2),
得:(x-2)x-(x+2)2=8,
x2-2x-x2-4x-4=8,
-6x=12
∴x=-2,
经检验:x=-2不是原方程的根,
∴原方程无解.
举一反三
若关于x的方程
m
x2-9
+
2
x+3
=
1
x-3
有增根,此时m=______.
题型:填空题难度:简单| 查看答案
解分式方程:
(1)
2-x
x-3
+
1
3-x
=3
(2)
x2-1
x+1
+x2(1-
1
x
)+1
题型:解答题难度:一般| 查看答案
解方程:
4
x2-4
+
x+3
x-2
=
x-1
x+2
题型:解答题难度:一般| 查看答案
如果关于x的方程
2
x-3
=1-
m
x-3
无解,则m的值等于(  )
A.-3B.-2C.-1D.3
题型:单选题难度:一般| 查看答案
解方程
(1)
1-x
x-2
=
1
2-x
-2

(2)
3
2x-2
+
1
1-x
=3.
题型:解答题难度:一般| 查看答案
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