m^2+9m+8=0

解

m^{2} + 9 m + 8 = 0

m = - 1, m = - 8

解答ステップ

m^{2} + 9 m + 8 = 0

解くとthe二次式

m_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 1 \cdot 8}{2 \cdot 1}

9^{2} - 4 \cdot 1 \cdot 8 = 7

m_{1, 2} = \frac{- 9 \pm 7}{2 \cdot 1}

解を分離する

m_{1} = \frac{- 9 + 7}{2 \cdot 1}, m_{2} = \frac{- 9 - 7}{2 \cdot 1}

m = \frac{- 9 + 7}{2 \cdot 1} : - 1

m = \frac{- 9 - 7}{2 \cdot 1} : - 8

二次equationの解:

m = - 1, m = - 8