m^2-3m-10=0

解

m^{2} - 3 m - 10 = 0

m = 5, m = - 2

解答ステップ

m^{2} - 3 m - 10 = 0

解くとthe二次式

m_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

(- 3)^{2} - 4 \cdot 1 \cdot (- 10) = 7

m_{1, 2} = \frac{- ( - 3 ) \pm 7}{2 \cdot 1}

解を分離する

m_{1} = \frac{- ( - 3 ) + 7}{2 \cdot 1}, m_{2} = \frac{- ( - 3 ) - 7}{2 \cdot 1}

m = \frac{- ( - 3 ) + 7}{2 \cdot 1} : 5

m = \frac{- ( - 3 ) - 7}{2 \cdot 1} : - 2

二次equationの解:

m = 5, m = - 2