m^2-11m-12=0

解

m^{2} - 11 m - 12 = 0

m = 12, m = - 1

解答ステップ

m^{2} - 11 m - 12 = 0

解くとthe二次式

m_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 1 \cdot ( - 12 )}{2 \cdot 1}

(- 11)^{2} - 4 \cdot 1 \cdot (- 12) = 13

m_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 1}

解を分離する

m_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 1}, m_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 1}

m = \frac{- ( - 11 ) + 13}{2 \cdot 1} : 12

m = \frac{- ( - 11 ) - 13}{2 \cdot 1} : - 1

二次equationの解:

m = 12, m = - 1