h^2+30h+200=0

解

h^{2} + 30 h + 200 = 0

h = - 10, h = - 20

解答ステップ

h^{2} + 30 h + 200 = 0

解くとthe二次式

h_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 1 \cdot 200}{2 \cdot 1}

3 0^{2} - 4 \cdot 1 \cdot 200 = 10

h_{1, 2} = \frac{- 30 \pm 10}{2 \cdot 1}

解を分離する

h_{1} = \frac{- 30 + 10}{2 \cdot 1}, h_{2} = \frac{- 30 - 10}{2 \cdot 1}

h = \frac{- 30 + 10}{2 \cdot 1} : - 10

h = \frac{- 30 - 10}{2 \cdot 1} : - 20

二次equationの解:

h = - 10, h = - 20