m^2-10m=-16

解

m^{2} - 10 m = - 16

m = 8, m = 2

解答ステップ

m^{2} - 10 m = - 16

16

を左側に移動します

m^{2} - 10 m + 16 = 0

解くとthe二次式

m_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 16}{2 \cdot 1}

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

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

解を分離する

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

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

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

二次equationの解:

m = 8, m = 2