m^2-30m-675=0

解

m^{2} - 30 m - 675 = 0

m = 45, m = - 15

解答ステップ

m^{2} - 30 m - 675 = 0

解くとthe二次式

m_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 1 \cdot ( - 675 )}{2 \cdot 1}

(- 30)^{2} - 4 \cdot 1 \cdot (- 675) = 60

m_{1, 2} = \frac{- ( - 30 ) \pm 60}{2 \cdot 1}

解を分離する

m_{1} = \frac{- ( - 30 ) + 60}{2 \cdot 1}, m_{2} = \frac{- ( - 30 ) - 60}{2 \cdot 1}

m = \frac{- ( - 30 ) + 60}{2 \cdot 1} : 45

m = \frac{- ( - 30 ) - 60}{2 \cdot 1} : - 15

二次equationの解:

m = 45, m = - 15