m^2+6m-16=0

解

m^{2} + 6 m - 16 = 0

m = 2, m = - 8

解答ステップ

m^{2} + 6 m - 16 = 0

解くとthe二次式

m_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 16 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 16) = 10

m_{1, 2} = \frac{- 6 \pm 10}{2 \cdot 1}

解を分離する

m_{1} = \frac{- 6 + 10}{2 \cdot 1}, m_{2} = \frac{- 6 - 10}{2 \cdot 1}

m = \frac{- 6 + 10}{2 \cdot 1} : 2

m = \frac{- 6 - 10}{2 \cdot 1} : - 8

二次equationの解:

m = 2, m = - 8