6|((4w-1))/6 |=|((2w))/3+1/4 |

解答

6 \frac{( 4 w - 1 )}{6} = \frac{( 2 w )}{3} + \frac{1}{4}

w = \frac{9}{56} or w = \frac{3}{8}

十进制

w = 0.16071 \dots, w = 0.375

求解步骤

6 \frac{4 w - 1}{6} = \frac{2 w}{3} + \frac{1}{4}

找到正负区间

w < - \frac{3}{8}, - \frac{3}{8} \leq w < \frac{1}{4}, w \geq \frac{1}{4}

对每个区间解不等式

无解 or w = \frac{9}{56} or w = \frac{3}{8}

w = \frac{9}{56} or w = \frac{3}{8}

(x - 1 - x^{2})^{3} + x^{2} - x + 1 = 0

∣ x - 3 ∣ = 5 - 2 x

∣ x + 5 ∣ + ∣ 3 - 5 ∣ = 15

∣ x - 1 ∣ + ∣ x - 3 ∣ + 3 ∣ 5 - x ∣ = 9

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