e^2+6e+8=0

解

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

e = - 2, e = - 4

解答ステップ

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

解くとthe二次式

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

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

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

解を分離する

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

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

e = \frac{- 6 - 2}{2 \cdot 1} : - 4

二次equationの解:

e = - 2, e = - 4