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What is the sum of all possible solutions to the equation: = x+1.
What is the sum of all possible solutions to the equation: = x+1.
admin
2019-05-11
47
问题
What is the sum of all possible solutions to the equation:
= x+1.
选项
A、-2
B、2
C、3
D、5
E、6
答案
D
解析
将方程式两边同时平方,得出:
2x
2
-x-9=(x+1)
2
x
2
-3x-10=0
(x-5)(x+2)=0
x=5或x=-2
由于平方根≥0,因此,x+1≥0,因此,方程只有x=5这个解。所以答案为D选项。
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