(x+5)^2-8(x+5)=0

解

(x + 5)^{2} - 8 (x + 5) = 0

x = 3, x = - 5

解答ステップ

(x + 5)^{2} - 8 (x + 5) = 0

拡張

(x + 5)^{2} - 8 (x + 5) : x^{2} + 2 x - 15

x^{2} + 2 x - 15 = 0

解くとthe二次式

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 1 \cdot ( - 15 )}{2 \cdot 1}

2^{2} - 4 \cdot 1 \cdot (- 15) = 8

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

解を分離する

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

x = \frac{- 2 + 8}{2 \cdot 1} : 3

x = \frac{- 2 - 8}{2 \cdot 1} : - 5

二次equationの解:

x = 3, x = - 5