|3x-1|= 1/3

解

∣ 3 x - 1 ∣ = \frac{1}{3}

x = \frac{2}{9} or x = \frac{4}{9}

十進法表記

x = 0.22222 \dots, x = 0.44444 \dots

解答ステップ

∣ 3 x - 1 ∣ = \frac{1}{3}

絶対規則を適用する:

∣ u ∣ = a, a > 0

の場合は

u = a

u = - a

3 x - 1 = - \frac{1}{3} or 3 x - 1 = \frac{1}{3}

3 x - 1 = - \frac{1}{3} or 3 x - 1 = \frac{1}{3}

x = \frac{2}{9} or x = \frac{4}{9}