m^2+3m=0

解

m^{2} + 3 m = 0

m = 0, m = - 3

解答ステップ

m^{2} + 3 m = 0

解くとthe二次式

m_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

3^{2} - 4 \cdot 1 \cdot 0 = 3

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

解を分離する

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

m = \frac{- 3 + 3}{2 \cdot 1} : 0

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

二次equationの解:

m = 0, m = - 3