|x+3|-|4-x|=|8+x|

解答

∣ x + 3 ∣ - ∣ 4 - x ∣ = ∣ 8 + x ∣

x \in R 无解

求解步骤

∣ x + 3 ∣ - ∣ 4 - x ∣ = ∣ 8 + x ∣

找到正负区间

x < - 8, - 8 \leq x < - 3, - 3 \leq x \leq 4, x > 4

对每个区间解不等式

x \in R 无解

∣ x - 3 ∣ + ∣ x + 5 ∣ = 8

x^{2} = ∣ x ∣

a = ∣ 2 x - 1 ∣ + 2

x^{2} + x + 1 = 2 x^{2} + x - 1

∣ 11 x + 22 ∣ + ∣ 3 x - 1 ∣ = 6 x + 6