|x-3|=(-2+sqrt(34))/2

解

∣ x - 3 ∣ = \frac{- 2 + 34}{2}

x = - \frac{- 2 + 34}{2} + 3 or x = \frac{- 2 + 34}{2} + 3

十進法表記

x = 1.08452 \dots, x = 4.91547 \dots

解答ステップ

∣ x - 3 ∣ = \frac{- 2 + 34}{2}

絶対規則を適用する:

∣ u ∣ = a, a > 0

の場合は

u = a

u = - a

x - 3 = - \frac{- 2 + 34}{2} or x - 3 = \frac{- 2 + 34}{2}

x - 3 = - \frac{- 2 + 34}{2} or x - 3 = \frac{- 2 + 34}{2}

x = - \frac{- 2 + 34}{2} + 3 or x = \frac{- 2 + 34}{2} + 3