(x+7)^2-6(x+7)=0

解

(x + 7)^{2} - 6 (x + 7) = 0

x = - 1, x = - 7

解答ステップ

(x + 7)^{2} - 6 (x + 7) = 0

拡張

(x + 7)^{2} - 6 (x + 7) : x^{2} + 8 x + 7

x^{2} + 8 x + 7 = 0

解くとthe二次式

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot 7}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot 7 = 6

x_{1, 2} = \frac{- 8 \pm 6}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 8 + 6}{2 \cdot 1}, x_{2} = \frac{- 8 - 6}{2 \cdot 1}

x = \frac{- 8 + 6}{2 \cdot 1} : - 1

x = \frac{- 8 - 6}{2 \cdot 1} : - 7

二次equationの解:

x = - 1, x = - 7