m^2+8m-9=0

解

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

m = 1, m = - 9

解答ステップ

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

解くとthe二次式

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

8^{2} - 4 \cdot 1 \cdot (- 9) = 10

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

解を分離する

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

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

m = \frac{- 8 - 10}{2 \cdot 1} : - 9

二次equationの解:

m = 1, m = - 9