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> 若关于x的方程2kx-1-xx2-x=kx+1x只有1个解,则k=______.-数学
若关于x的方程2kx-1-xx2-x=kx+1x只有1个解,则k=______.-数学
题目简介
若关于x的方程2kx-1-xx2-x=kx+1x只有1个解,则k=______.-数学
题目详情
若关于x的方程
2k
x-1
-
x
x
2
-x
=
kx+1
x
只有1个解,则k=______.
题型:填空题
难度:偏易
来源:不详
答案
原方程去分母整理得,kx2-(3k-2)x-1=0,①
若k=0,方程①的唯一解x=
class="stub"1
2
也是原方程的唯一解,
若k≠0,则△=(3k-2)2+4k=9(k-
class="stub"4
9
)2+
class="stub"20
9
>0,
即方程①总有两实根,
其中一根为原方程的增根,原方程的增根只能是0、1,
但x=0不是方程①的根,所以增根为x=1,
将x=1代入方程①得k-(3k-2)-1=0,k=
class="stub"1
2
,
综上,k=0或
class="stub"1
2
.
故答案为k=0或
class="stub"1
2
.
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解分式方程:2xx+2-3x-2=2.-数学
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分式方程有增根,则m的值为[]A.0
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题目简介
若关于x的方程2kx-1-xx2-x=kx+1x只有1个解,则k=______.-数学
题目详情
答案
若k=0,方程①的唯一解x=
若k≠0,则△=(3k-2)2+4k=9(k-
即方程①总有两实根,
其中一根为原方程的增根,原方程的增根只能是0、1,
但x=0不是方程①的根,所以增根为x=1,
将x=1代入方程①得k-(3k-2)-1=0,k=
综上,k=0或
故答案为k=0或