m^2-6m-55=0

解

m^{2} - 6 m - 55 = 0

m = 11, m = - 5

解答ステップ

m^{2} - 6 m - 55 = 0

解くとthe二次式

m_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 55 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 55) = 16

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

解を分離する

m_{1} = \frac{- ( - 6 ) + 16}{2 \cdot 1}, m_{2} = \frac{- ( - 6 ) - 16}{2 \cdot 1}

m = \frac{- ( - 6 ) + 16}{2 \cdot 1} : 11

m = \frac{- ( - 6 ) - 16}{2 \cdot 1} : - 5

二次equationの解:

m = 11, m = - 5