|x^2+x|=7

解

x^{2} + x = 7

x = \frac{- 1 - 29}{2} or x = \frac{- 1 + 29}{2}

十進法表記

x = - 3.19258 \dots, x = 2.19258 \dots

解答ステップ

x^{2} + x = 7

絶対規則を適用する:

∣ u ∣ = a, a > 0

の場合は

u = a

u = - a

x^{2} + x = - 7 or x^{2} + x = 7

x^{2} + x = - 7 or x^{2} + x = 7

解なし or (x = \frac{- 1 - 29}{2} or x = \frac{- 1 + 29}{2})

x = \frac{- 1 - 29}{2} or x = \frac{- 1 + 29}{2}