3x^2+27x=0

解

3 x^{2} + 27 x = 0

x = 0, x = - 9

解答ステップ

3 x^{2} + 27 x = 0

解くとthe二次式

x_{1, 2} = \frac{- 27 \pm 2 7 ^{2} - 4 \cdot 3 \cdot 0}{2 \cdot 3}

2 7^{2} - 4 \cdot 3 \cdot 0 = 27

x_{1, 2} = \frac{- 27 \pm 27}{2 \cdot 3}

解を分離する

x_{1} = \frac{- 27 + 27}{2 \cdot 3}, x_{2} = \frac{- 27 - 27}{2 \cdot 3}

x = \frac{- 27 + 27}{2 \cdot 3} : 0

x = \frac{- 27 - 27}{2 \cdot 3} : - 9

二次equationの解:

x = 0, x = - 9