3w^2+27w=0

解

3 w^{2} + 27 w = 0

w = 0, w = - 9

解答ステップ

3 w^{2} + 27 w = 0

解くとthe二次式

w_{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

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

解を分離する

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

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

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

二次equationの解:

w = 0, w = - 9