solvefor x,x^2+8x+6=0

解

x, x^{2} + 8 x + 6 = 0

x = - 4 + 10, x = - 4 - 10

十進法表記

x = - 0.83772 \dots, x = - 7.16227 \dots

解答ステップ

x^{2} + 8 x + 6 = 0

解くとthe二次式

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot 6 = 210

x_{1, 2} = \frac{- 8 \pm 2 10}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 8 + 2 10}{2 \cdot 1}, x_{2} = \frac{- 8 - 2 10}{2 \cdot 1}

x = \frac{- 8 + 2 10}{2 \cdot 1} : - 4 + 10

x = \frac{- 8 - 2 10}{2 \cdot 1} : - 4 - 10

二次equationの解:

x = - 4 + 10, x = - 4 - 10