If the equation | x | = ax + 1 about X has and has only one negative root, the value range of a is obtained ||It's absolute
With negative roots, X-1
Given that the equation | x | = ax + 1 has a negative root but no positive root, the value range of a is ()
A. A ≥ 1b. A < 1C. - 1 < a < 1D. A > - 1 and a ≠ 0
∵ the equation | x | = ax + 1 has a negative root but no positive root, ∵ x < 0, the equation is changed to: - x = ax + 1, X (a + 1) = - 1, x = − 1A + 1 < 0, ∵ a + 1 > 0, ∵ a > - 1, and a ≠ 0. If x > 0, | x | = x, x = ax + 1, x = 11 − a > 0, then 1-A > 0, the solution is a < 1. ∵ a < 1 is not established without positive root, ∵ a > 1. Therefore, select a
If LXL ≤ 1, the value of y = ax + 2A + 1 has positive and negative, then the value range of a is
The maximum and minimum of a function are at the end points
-1
It is known that the equation | x | = ax + 1 about X has a negative root and no positive root
The answer to this question is that a is greater than or equal to 1. But I calculated that a is greater than - 1
|x|=ax+1
x=ax + 1 (x>=0) -x = ax+1 (x=0 a+1>0
a>=1 a>-1
If we take the intersection of the two, we get a > = 1