h^2+10h+9=0

解

h^{2} + 10 h + 9 = 0

h = - 1, h = - 9

解答ステップ

h^{2} + 10 h + 9 = 0

解くとthe二次式

h_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 9}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 9 = 8

h_{1, 2} = \frac{- 10 \pm 8}{2 \cdot 1}

解を分離する

h_{1} = \frac{- 10 + 8}{2 \cdot 1}, h_{2} = \frac{- 10 - 8}{2 \cdot 1}

h = \frac{- 10 + 8}{2 \cdot 1} : - 1

h = \frac{- 10 - 8}{2 \cdot 1} : - 9

二次equationの解:

h = - 1, h = - 9