3|3-x|-4|2x+1|=2

解答

3 ∣ 3 - x ∣ - 4 ∣ 2 x + 1 ∣ = 2

x = - \frac{11}{5} or x = \frac{3}{11}

十进制

x = - 2.2, x = 0.27272 \dots

求解步骤

3 ∣ 3 - x ∣ - 4 ∣ 2 x + 1 ∣ = 2

找到正负区间

x < - \frac{1}{2}, - \frac{1}{2} \leq x \leq 3, x > 3

对每个区间解不等式

x = - \frac{11}{5} or x = \frac{3}{11} or 无解

x = - \frac{11}{5} or x = \frac{3}{11}

∣ x ∣ + ∣ x + 1 ∣ + ∣ x + 2 ∣ = 3

∣ x - 2 ∣ + ∣ x ∣ = x^{2} - 2 x

x + 2 = 3

∣ x - 1 ∣ + ∣ x - 2 ∣ = 5

∣ x - 1 ∣ + ∣ 4 - x ∣ = 6