(x+4)^2+11(x+4)+30=0

解

(x + 4)^{2} + 11 (x + 4) + 30 = 0

x = - 9, x = - 10

解答ステップ

(x + 4)^{2} + 11 (x + 4) + 30 = 0

拡張

(x + 4)^{2} + 11 (x + 4) + 30 : x^{2} + 19 x + 90

x^{2} + 19 x + 90 = 0

解くとthe二次式

x_{1, 2} = \frac{- 19 \pm 1 9 ^{2} - 4 \cdot 1 \cdot 90}{2 \cdot 1}

1 9^{2} - 4 \cdot 1 \cdot 90 = 1

x_{1, 2} = \frac{- 19 \pm 1}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 19 + 1}{2 \cdot 1}, x_{2} = \frac{- 19 - 1}{2 \cdot 1}

x = \frac{- 19 + 1}{2 \cdot 1} : - 9

x = \frac{- 19 - 1}{2 \cdot 1} : - 10

二次equationの解:

x = - 9, x = - 10