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> 已知关于x的方程3x+n2x+1=2的解是负数,则n的取值范围为______.-数学
已知关于x的方程3x+n2x+1=2的解是负数,则n的取值范围为______.-数学
题目简介
已知关于x的方程3x+n2x+1=2的解是负数,则n的取值范围为______.-数学
题目详情
已知关于x的方程
3x+n
2x+1
=2
的解是负数,则n的取值范围为______.
题型:填空题
难度:中档
来源:扬州
答案
class="stub"3x+n
2x+1
=2
,
解方程得:x=n-2,
∵关于x的方程
class="stub"3x+n
2x+1
=2
的解是负数,
∴n-2<0,
解得:n<2,
又∵原方程有意义的条件为:x≠-
class="stub"1
2
,
∴n-2≠-
class="stub"1
2
,
即n≠
class="stub"3
2
.
故答案为:n<2且n≠
class="stub"3
2
.
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题目简介
已知关于x的方程3x+n2x+1=2的解是负数,则n的取值范围为______.-数学
题目详情
答案
解方程得:x=n-2,
∵关于x的方程
∴n-2<0,
解得:n<2,
又∵原方程有意义的条件为:x≠-
∴n-2≠-
即n≠
故答案为:n<2且n≠