4w^2+24w=0

解

4 w^{2} + 24 w = 0

w = 0, w = - 6

解答ステップ

4 w^{2} + 24 w = 0

解くとthe二次式

w_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 4 \cdot 0}{2 \cdot 4}

2 4^{2} - 4 \cdot 4 \cdot 0 = 24

w_{1, 2} = \frac{- 24 \pm 24}{2 \cdot 4}

解を分離する

w_{1} = \frac{- 24 + 24}{2 \cdot 4}, w_{2} = \frac{- 24 - 24}{2 \cdot 4}

w = \frac{- 24 + 24}{2 \cdot 4} : 0

w = \frac{- 24 - 24}{2 \cdot 4} : - 6

二次equationの解:

w = 0, w = - 6