w^2+11w+30=0

解

w^{2} + 11 w + 30 = 0

w = - 5, w = - 6

解答ステップ

w^{2} + 11 w + 30 = 0

解くとthe二次式

w_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 \cdot 1 \cdot 30}{2 \cdot 1}

1 1^{2} - 4 \cdot 1 \cdot 30 = 1

w_{1, 2} = \frac{- 11 \pm 1}{2 \cdot 1}

解を分離する

w_{1} = \frac{- 11 + 1}{2 \cdot 1}, w_{2} = \frac{- 11 - 1}{2 \cdot 1}

w = \frac{- 11 + 1}{2 \cdot 1} : - 5

w = \frac{- 11 - 1}{2 \cdot 1} : - 6

二次equationの解:

w = - 5, w = - 6