|x^2-2x|+|3x-6|=|5x-6-x^2|

解答

x^{2} - 2 x + ∣ 3 x - 6 ∣ = 5 x - 6 - x^{2}

x \leq 0 or x = 2

求解步骤

x^{2} - 2 x + ∣ 3 x - 6 ∣ = 5 x - 6 - x^{2}

找到正负区间

x \leq 0, 0 < x < 2, 2 \leq x \leq 3, x > 3

对每个区间解不等式

x \leq 0 or 无解 or x = 2

合并重叠的区间

x \leq 0 or x = 2

x^{2} + 12 x - 28 = 9 x

∣ a + 15 ∣ = 2, a ∣ b - a ∣ = 2 b

11 ∣ 2 x + 3 ∣ - ∣ 2 x - 5 ∣ = 6

- x^{2} + x - 1 = ∣ x + 5 ∣

∣ n ∣ + ∣ n - 4 ∣ + ∣ n - 6 ∣ = 10