n^2+10n-24=0

解

n^{2} + 10 n - 24 = 0

n = 2, n = - 12

解答ステップ

n^{2} + 10 n - 24 = 0

解くとthe二次式

n_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot ( - 24 )}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot (- 24) = 14

n_{1, 2} = \frac{- 10 \pm 14}{2 \cdot 1}

解を分離する

n_{1} = \frac{- 10 + 14}{2 \cdot 1}, n_{2} = \frac{- 10 - 14}{2 \cdot 1}

n = \frac{- 10 + 14}{2 \cdot 1} : 2

n = \frac{- 10 - 14}{2 \cdot 1} : - 12

二次equationの解:

n = 2, n = - 12