n^2-9n-136=0

解

n^{2} - 9 n - 136 = 0

n = 17, n = - 8

解答ステップ

n^{2} - 9 n - 136 = 0

解くとthe二次式

n_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 1 \cdot ( - 136 )}{2 \cdot 1}

(- 9)^{2} - 4 \cdot 1 \cdot (- 136) = 25

n_{1, 2} = \frac{- ( - 9 ) \pm 25}{2 \cdot 1}

解を分離する

n_{1} = \frac{- ( - 9 ) + 25}{2 \cdot 1}, n_{2} = \frac{- ( - 9 ) - 25}{2 \cdot 1}

n = \frac{- ( - 9 ) + 25}{2 \cdot 1} : 17

n = \frac{- ( - 9 ) - 25}{2 \cdot 1} : - 8

二次equationの解:

n = 17, n = - 8