(x+6)^2-5(x+6)+6=0

解

(x + 6)^{2} - 5 (x + 6) + 6 = 0

x = - 3, x = - 4

解答ステップ

(x + 6)^{2} - 5 (x + 6) + 6 = 0

拡張

(x + 6)^{2} - 5 (x + 6) + 6 : x^{2} + 7 x + 12

x^{2} + 7 x + 12 = 0

解くとthe二次式

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 1 \cdot 12}{2 \cdot 1}

7^{2} - 4 \cdot 1 \cdot 12 = 1

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

解を分離する

x_{1} = \frac{- 7 + 1}{2 \cdot 1}, x_{2} = \frac{- 7 - 1}{2 \cdot 1}

x = \frac{- 7 + 1}{2 \cdot 1} : - 3

x = \frac{- 7 - 1}{2 \cdot 1} : - 4

二次equationの解:

x = - 3, x = - 4